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Finding the Fourth Proportional to 24,174.72, 33,363.14 and 13,420.61

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Solution

The fourth proportional to 24,174.72, 33,363.14 and 13,420.61 is: 18,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.72 : 33,363.14 = 13,420.61 : x
  2. Step 2: Convert to fraction form
    24,174.72/33,363.14 = 13,420.61/x
  3. Step 3: Cross multiply
    24,174.72x = 33,363.14 × 13,420.61
  4. Step 4: Simplify right side
    24,174.72x = 447,753,456.40
  5. Step 5: Solve for x
    x = 447,753,456.40/24,174.72
  6. Step 6: Final answer
    x = 18,521.56

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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.