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Finding the Fourth Proportional to 10,154.72, 15,221.14 and 9,689.15

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Solution

The fourth proportional to 10,154.72, 15,221.14 and 9,689.15 is: 14,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.72 : 15,221.14 = 9,689.15 : x
  2. Step 2: Convert to fraction form
    10,154.72/15,221.14 = 9,689.15/x
  3. Step 3: Cross multiply
    10,154.72x = 15,221.14 × 9,689.15
  4. Step 4: Simplify right side
    10,154.72x = 147,479,808.30
  5. Step 5: Solve for x
    x = 147,479,808.30/10,154.72
  6. Step 6: Final answer
    x = 14,523.28

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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.