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Finding the Fourth Proportional to 21,854.57, 32,781.80 and 9,366.49

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Solution

The fourth proportional to 21,854.57, 32,781.80 and 9,366.49 is: 14,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.57 : 32,781.80 = 9,366.49 : x
  2. Step 2: Convert to fraction form
    21,854.57/32,781.80 = 9,366.49/x
  3. Step 3: Cross multiply
    21,854.57x = 32,781.80 × 9,366.49
  4. Step 4: Simplify right side
    21,854.57x = 307,050,413.59
  5. Step 5: Solve for x
    x = 307,050,413.59/21,854.57
  6. Step 6: Final answer
    x = 14,049.72

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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.