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Finding the Fourth Proportional to 14,573.82, 20,111.44 and 8,200.77

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Solution

The fourth proportional to 14,573.82, 20,111.44 and 8,200.77 is: 11,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.82 : 20,111.44 = 8,200.77 : x
  2. Step 2: Convert to fraction form
    14,573.82/20,111.44 = 8,200.77/x
  3. Step 3: Cross multiply
    14,573.82x = 20,111.44 × 8,200.77
  4. Step 4: Simplify right side
    14,573.82x = 164,929,269.83
  5. Step 5: Solve for x
    x = 164,929,269.83/14,573.82
  6. Step 6: Final answer
    x = 11,316.82

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Half scale
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Double scale
Find fourth proportional to 14,574.82, 20,112.82 and 8,201.77
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.