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Finding the Fourth Proportional to 17,662.38, 24,359.98 and 11,618.83

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Solution

The fourth proportional to 17,662.38, 24,359.98 and 11,618.83 is: 16,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.38 : 24,359.98 = 11,618.83 : x
  2. Step 2: Convert to fraction form
    17,662.38/24,359.98 = 11,618.83/x
  3. Step 3: Cross multiply
    17,662.38x = 24,359.98 × 11,618.83
  4. Step 4: Simplify right side
    17,662.38x = 283,034,286.53
  5. Step 5: Solve for x
    x = 283,034,286.53/17,662.38
  6. Step 6: Final answer
    x = 16,024.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.