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Finding the Fourth Proportional to 12,565.86, 18,850.61 and 3,801.52

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Solution

The fourth proportional to 12,565.86, 18,850.61 and 3,801.52 is: 5,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.86 : 18,850.61 = 3,801.52 : x
  2. Step 2: Convert to fraction form
    12,565.86/18,850.61 = 3,801.52/x
  3. Step 3: Cross multiply
    12,565.86x = 18,850.61 × 3,801.52
  4. Step 4: Simplify right side
    12,565.86x = 71,660,970.93
  5. Step 5: Solve for x
    x = 71,660,970.93/12,565.86
  6. Step 6: Final answer
    x = 5,702.83

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