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Finding the Fourth Proportional to 14,677.82, 20,255.38 and 8,390.33

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Solution

The fourth proportional to 14,677.82, 20,255.38 and 8,390.33 is: 11,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.82 : 20,255.38 = 8,390.33 : x
  2. Step 2: Convert to fraction form
    14,677.82/20,255.38 = 8,390.33/x
  3. Step 3: Cross multiply
    14,677.82x = 20,255.38 × 8,390.33
  4. Step 4: Simplify right side
    14,677.82x = 169,949,322.48
  5. Step 5: Solve for x
    x = 169,949,322.48/14,677.82
  6. Step 6: Final answer
    x = 11,578.65

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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.