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Finding the Fourth Proportional to 15,265.10, 22,897.65 and 13,709.90

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Solution

The fourth proportional to 15,265.10, 22,897.65 and 13,709.90 is: 20,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,265.10 : 22,897.65 = 13,709.90 : x
  2. Step 2: Convert to fraction form
    15,265.10/22,897.65 = 13,709.90/x
  3. Step 3: Cross multiply
    15,265.10x = 22,897.65 × 13,709.90
  4. Step 4: Simplify right side
    15,265.10x = 313,924,491.74
  5. Step 5: Solve for x
    x = 313,924,491.74/15,265.10
  6. Step 6: Final answer
    x = 20,564.85

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