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Finding the Fourth Proportional to 18,565.27, 27,841.05 and 8,036.82

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Solution

The fourth proportional to 18,565.27, 27,841.05 and 8,036.82 is: 12,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.27 : 27,841.05 = 8,036.82 : x
  2. Step 2: Convert to fraction form
    18,565.27/27,841.05 = 8,036.82/x
  3. Step 3: Cross multiply
    18,565.27x = 27,841.05 × 8,036.82
  4. Step 4: Simplify right side
    18,565.27x = 223,753,507.46
  5. Step 5: Solve for x
    x = 223,753,507.46/18,565.27
  6. Step 6: Final answer
    x = 12,052.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.