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Finding the Fourth Proportional to 16,414.26, 24,581.91 and 9,372.93

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Solution

The fourth proportional to 16,414.26, 24,581.91 and 9,372.93 is: 14,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.26 : 24,581.91 = 9,372.93 : x
  2. Step 2: Convert to fraction form
    16,414.26/24,581.91 = 9,372.93/x
  3. Step 3: Cross multiply
    16,414.26x = 24,581.91 × 9,372.93
  4. Step 4: Simplify right side
    16,414.26x = 230,404,602.94
  5. Step 5: Solve for x
    x = 230,404,602.94/16,414.26
  6. Step 6: Final answer
    x = 14,036.86

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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.