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Finding the Fourth Proportional to 21,232.98, 31,849.47 and 7,193.07

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Solution

The fourth proportional to 21,232.98, 31,849.47 and 7,193.07 is: 10,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.98 : 31,849.47 = 7,193.07 : x
  2. Step 2: Convert to fraction form
    21,232.98/31,849.47 = 7,193.07/x
  3. Step 3: Cross multiply
    21,232.98x = 31,849.47 × 7,193.07
  4. Step 4: Simplify right side
    21,232.98x = 229,095,467.17
  5. Step 5: Solve for x
    x = 229,095,467.17/21,232.98
  6. Step 6: Final answer
    x = 10,789.61

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.