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Finding the Fourth Proportional to 16,252.52, 24,381.81 and 5,162.00

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Solution

The fourth proportional to 16,252.52, 24,381.81 and 5,162.00 is: 7,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.52 : 24,381.81 = 5,162.00 : x
  2. Step 2: Convert to fraction form
    16,252.52/24,381.81 = 5,162.00/x
  3. Step 3: Cross multiply
    16,252.52x = 24,381.81 × 5,162.00
  4. Step 4: Simplify right side
    16,252.52x = 125,858,781.31
  5. Step 5: Solve for x
    x = 125,858,781.31/16,252.52
  6. Step 6: Final answer
    x = 7,743.96

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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.