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Finding the Fourth Proportional to 29,715.66, 41,006.52 and 16,286.76

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Solution

The fourth proportional to 29,715.66, 41,006.52 and 16,286.76 is: 22,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.66 : 41,006.52 = 16,286.76 : x
  2. Step 2: Convert to fraction form
    29,715.66/41,006.52 = 16,286.76/x
  3. Step 3: Cross multiply
    29,715.66x = 41,006.52 × 16,286.76
  4. Step 4: Simplify right side
    29,715.66x = 667,863,349.68
  5. Step 5: Solve for x
    x = 667,863,349.68/29,715.66
  6. Step 6: Final answer
    x = 22,475.13

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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.