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Finding the Fourth Proportional to 14,925.70, 20,593.92 and 9,614.26

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Solution

The fourth proportional to 14,925.70, 20,593.92 and 9,614.26 is: 13,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925.70 : 20,593.92 = 9,614.26 : x
  2. Step 2: Convert to fraction form
    14,925.70/20,593.92 = 9,614.26/x
  3. Step 3: Cross multiply
    14,925.70x = 20,593.92 × 9,614.26
  4. Step 4: Simplify right side
    14,925.70x = 197,995,301.30
  5. Step 5: Solve for x
    x = 197,995,301.30/14,925.70
  6. Step 6: Final answer
    x = 13,265.39

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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.