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Finding the Fourth Proportional to 10,269.38, 15,404.04 and 2,478.20

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Solution

The fourth proportional to 10,269.38, 15,404.04 and 2,478.20 is: 3,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.38 : 15,404.04 = 2,478.20 : x
  2. Step 2: Convert to fraction form
    10,269.38/15,404.04 = 2,478.20/x
  3. Step 3: Cross multiply
    10,269.38x = 15,404.04 × 2,478.20
  4. Step 4: Simplify right side
    10,269.38x = 38,174,214.91
  5. Step 5: Solve for x
    x = 38,174,214.91/10,269.38
  6. Step 6: Final answer
    x = 3,717.28

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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.