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Finding the Fourth Proportional to 22,468.10, 33,691.32 and 13,110.86

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Solution

The fourth proportional to 22,468.10, 33,691.32 and 13,110.86 is: 19,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.10 : 33,691.32 = 13,110.86 : x
  2. Step 2: Convert to fraction form
    22,468.10/33,691.32 = 13,110.86/x
  3. Step 3: Cross multiply
    22,468.10x = 33,691.32 × 13,110.86
  4. Step 4: Simplify right side
    22,468.10x = 441,722,179.74
  5. Step 5: Solve for x
    x = 441,722,179.74/22,468.10
  6. Step 6: Final answer
    x = 19,659.97

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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.