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Finding the Fourth Proportional to 23,413.28, 32,309.88 and 12,802.88

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Solution

The fourth proportional to 23,413.28, 32,309.88 and 12,802.88 is: 17,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.28 : 32,309.88 = 12,802.88 : x
  2. Step 2: Convert to fraction form
    23,413.28/32,309.88 = 12,802.88/x
  3. Step 3: Cross multiply
    23,413.28x = 32,309.88 × 12,802.88
  4. Step 4: Simplify right side
    23,413.28x = 413,659,516.45
  5. Step 5: Solve for x
    x = 413,659,516.45/23,413.28
  6. Step 6: Final answer
    x = 17,667.73

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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.