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Finding the Fourth Proportional to 24,126.61, 36,197.23 and 11,644.31

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Solution

The fourth proportional to 24,126.61, 36,197.23 and 11,644.31 is: 17,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126.61 : 36,197.23 = 11,644.31 : x
  2. Step 2: Convert to fraction form
    24,126.61/36,197.23 = 11,644.31/x
  3. Step 3: Cross multiply
    24,126.61x = 36,197.23 × 11,644.31
  4. Step 4: Simplify right side
    24,126.61x = 421,491,557.16
  5. Step 5: Solve for x
    x = 421,491,557.16/24,126.61
  6. Step 6: Final answer
    x = 17,469.99

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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.