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Finding the Fourth Proportional to 23,487.71, 32,413.16 and 12,732.66

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Solution

The fourth proportional to 23,487.71, 32,413.16 and 12,732.66 is: 17,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.71 : 32,413.16 = 12,732.66 : x
  2. Step 2: Convert to fraction form
    23,487.71/32,413.16 = 12,732.66/x
  3. Step 3: Cross multiply
    23,487.71x = 32,413.16 × 12,732.66
  4. Step 4: Simplify right side
    23,487.71x = 412,705,777.64
  5. Step 5: Solve for x
    x = 412,705,777.64/23,487.71
  6. Step 6: Final answer
    x = 17,571.14

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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.