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Finding the Fourth Proportional to 23,655.38, 32,644.42 and 13,045.24

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Solution

The fourth proportional to 23,655.38, 32,644.42 and 13,045.24 is: 18,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.38 : 32,644.42 = 13,045.24 : x
  2. Step 2: Convert to fraction form
    23,655.38/32,644.42 = 13,045.24/x
  3. Step 3: Cross multiply
    23,655.38x = 32,644.42 × 13,045.24
  4. Step 4: Simplify right side
    23,655.38x = 425,854,293.56
  5. Step 5: Solve for x
    x = 425,854,293.56/23,655.38
  6. Step 6: Final answer
    x = 18,002.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.