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Finding the Fourth Proportional to 17,785.71, 26,694.63 and 9,472.68

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Solution

The fourth proportional to 17,785.71, 26,694.63 and 9,472.68 is: 14,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.71 : 26,694.63 = 9,472.68 : x
  2. Step 2: Convert to fraction form
    17,785.71/26,694.63 = 9,472.68/x
  3. Step 3: Cross multiply
    17,785.71x = 26,694.63 × 9,472.68
  4. Step 4: Simplify right side
    17,785.71x = 252,869,687.71
  5. Step 5: Solve for x
    x = 252,869,687.71/17,785.71
  6. Step 6: Final answer
    x = 14,217.58

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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.