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Finding the Fourth Proportional to 10,314.72, 15,472.14 and 2,523.54

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Solution

The fourth proportional to 10,314.72, 15,472.14 and 2,523.54 is: 3,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.72 : 15,472.14 = 2,523.54 : x
  2. Step 2: Convert to fraction form
    10,314.72/15,472.14 = 2,523.54/x
  3. Step 3: Cross multiply
    10,314.72x = 15,472.14 × 2,523.54
  4. Step 4: Simplify right side
    10,314.72x = 39,044,564.18
  5. Step 5: Solve for x
    x = 39,044,564.18/10,314.72
  6. Step 6: Final answer
    x = 3,785.32

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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.