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Finding the Fourth Proportional to 18,785.25, 25,916.49 and 12,414.87

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Solution

The fourth proportional to 18,785.25, 25,916.49 and 12,414.87 is: 17,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785.25 : 25,916.49 = 12,414.87 : x
  2. Step 2: Convert to fraction form
    18,785.25/25,916.49 = 12,414.87/x
  3. Step 3: Cross multiply
    18,785.25x = 25,916.49 × 12,414.87
  4. Step 4: Simplify right side
    18,785.25x = 321,749,854.21
  5. Step 5: Solve for x
    x = 321,749,854.21/18,785.25
  6. Step 6: Final answer
    x = 17,127.79

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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.