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Finding the Fourth Proportional to 17,602.38, 24,284.52 and 11,227.86

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Solution

The fourth proportional to 17,602.38, 24,284.52 and 11,227.86 is: 15,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.38 : 24,284.52 = 11,227.86 : x
  2. Step 2: Convert to fraction form
    17,602.38/24,284.52 = 11,227.86/x
  3. Step 3: Cross multiply
    17,602.38x = 24,284.52 × 11,227.86
  4. Step 4: Simplify right side
    17,602.38x = 272,663,190.73
  5. Step 5: Solve for x
    x = 272,663,190.73/17,602.38
  6. Step 6: Final answer
    x = 15,490.13

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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.