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Finding the Fourth Proportional to 25,456.61, 38,169.57 and 11,414.10

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Solution

The fourth proportional to 25,456.61, 38,169.57 and 11,414.10 is: 17,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456.61 : 38,169.57 = 11,414.10 : x
  2. Step 2: Convert to fraction form
    25,456.61/38,169.57 = 11,414.10/x
  3. Step 3: Cross multiply
    25,456.61x = 38,169.57 × 11,414.10
  4. Step 4: Simplify right side
    25,456.61x = 435,671,288.94
  5. Step 5: Solve for x
    x = 435,671,288.94/25,456.61
  6. Step 6: Final answer
    x = 17,114.27

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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.