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Finding the Fourth Proportional to 24,402.24, 36,576 and 17,380.80

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Solution

The fourth proportional to 24,402.24, 36,576 and 17,380.80 is: 26,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.24 : 36,576 = 17,380.80 : x
  2. Step 2: Convert to fraction form
    24,402.24/36,576 = 17,380.80/x
  3. Step 3: Cross multiply
    24,402.24x = 36,576 × 17,380.80
  4. Step 4: Simplify right side
    24,402.24x = 635,720,140.80
  5. Step 5: Solve for x
    x = 635,720,140.80/24,402.24
  6. Step 6: Final answer
    x = 26,051.71

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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.