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Finding the Fourth Proportional to 25,543.65, 38,321.96 and 8,013.63

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Solution

The fourth proportional to 25,543.65, 38,321.96 and 8,013.63 is: 12,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543.65 : 38,321.96 = 8,013.63 : x
  2. Step 2: Convert to fraction form
    25,543.65/38,321.96 = 8,013.63/x
  3. Step 3: Cross multiply
    25,543.65x = 38,321.96 × 8,013.63
  4. Step 4: Simplify right side
    25,543.65x = 307,098,008.31
  5. Step 5: Solve for x
    x = 307,098,008.31/25,543.65
  6. Step 6: Final answer
    x = 12,022.48

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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.