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Finding the Fourth Proportional to 17,658.15, 24,374.65 and 11,691.74

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Solution

The fourth proportional to 17,658.15, 24,374.65 and 11,691.74 is: 16,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.15 : 24,374.65 = 11,691.74 : x
  2. Step 2: Convert to fraction form
    17,658.15/24,374.65 = 11,691.74/x
  3. Step 3: Cross multiply
    17,658.15x = 24,374.65 × 11,691.74
  4. Step 4: Simplify right side
    17,658.15x = 284,982,091.14
  5. Step 5: Solve for x
    x = 284,982,091.14/17,658.15
  6. Step 6: Final answer
    x = 16,138.84

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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.