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Finding the Fourth Proportional to 23,487.81, 32,413.17 and 12,877.22

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Solution

The fourth proportional to 23,487.81, 32,413.17 and 12,877.22 is: 17,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.81 : 32,413.17 = 12,877.22 : x
  2. Step 2: Convert to fraction form
    23,487.81/32,413.17 = 12,877.22/x
  3. Step 3: Cross multiply
    23,487.81x = 32,413.17 × 12,877.22
  4. Step 4: Simplify right side
    23,487.81x = 417,391,358.92
  5. Step 5: Solve for x
    x = 417,391,358.92/23,487.81
  6. Step 6: Final answer
    x = 17,770.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.