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Finding the Fourth Proportional to 23,463.68, 32,379.98 and 12,853.31

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Solution

The fourth proportional to 23,463.68, 32,379.98 and 12,853.31 is: 17,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.68 : 32,379.98 = 12,853.31 : x
  2. Step 2: Convert to fraction form
    23,463.68/32,379.98 = 12,853.31/x
  3. Step 3: Cross multiply
    23,463.68x = 32,379.98 × 12,853.31
  4. Step 4: Simplify right side
    23,463.68x = 416,189,694.57
  5. Step 5: Solve for x
    x = 416,189,694.57/23,463.68
  6. Step 6: Final answer
    x = 17,737.62

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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.