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Finding the Fourth Proportional to 23,229.27, 32,055.18 and 12,618.87

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Solution

The fourth proportional to 23,229.27, 32,055.18 and 12,618.87 is: 17,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.27 : 32,055.18 = 12,618.87 : x
  2. Step 2: Convert to fraction form
    23,229.27/32,055.18 = 12,618.87/x
  3. Step 3: Cross multiply
    23,229.27x = 32,055.18 × 12,618.87
  4. Step 4: Simplify right side
    23,229.27x = 404,500,149.25
  5. Step 5: Solve for x
    x = 404,500,149.25/23,229.27
  6. Step 6: Final answer
    x = 17,413.38

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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.