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Finding the Fourth Proportional to 17,734.25, 24,477.98 and 10,472.71

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Solution

The fourth proportional to 17,734.25, 24,477.98 and 10,472.71 is: 14,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.25 : 24,477.98 = 10,472.71 : x
  2. Step 2: Convert to fraction form
    17,734.25/24,477.98 = 10,472.71/x
  3. Step 3: Cross multiply
    17,734.25x = 24,477.98 × 10,472.71
  4. Step 4: Simplify right side
    17,734.25x = 256,350,785.93
  5. Step 5: Solve for x
    x = 256,350,785.93/17,734.25
  6. Step 6: Final answer
    x = 14,455.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.