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Finding the Fourth Proportional to 41,565.72, 62,357.94 and 13,863

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Solution

The fourth proportional to 41,565.72, 62,357.94 and 13,863 is: 20,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565.72 : 62,357.94 = 13,863 : x
  2. Step 2: Convert to fraction form
    41,565.72/62,357.94 = 13,863/x
  3. Step 3: Cross multiply
    41,565.72x = 62,357.94 × 13,863
  4. Step 4: Simplify right side
    41,565.72x = 864,468,122.22
  5. Step 5: Solve for x
    x = 864,468,122.22/41,565.72
  6. Step 6: Final answer
    x = 20,797.62

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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.