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Finding the Fourth Proportional to 24,410.61, 33,691.10 and 13,800.24

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Solution

The fourth proportional to 24,410.61, 33,691.10 and 13,800.24 is: 19,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410.61 : 33,691.10 = 13,800.24 : x
  2. Step 2: Convert to fraction form
    24,410.61/33,691.10 = 13,800.24/x
  3. Step 3: Cross multiply
    24,410.61x = 33,691.10 × 13,800.24
  4. Step 4: Simplify right side
    24,410.61x = 464,945,196.86
  5. Step 5: Solve for x
    x = 464,945,196.86/24,410.61
  6. Step 6: Final answer
    x = 19,046.85

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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.