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Finding the Fourth Proportional to 12,864, 17,740.14 and 8,391.18

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Solution

The fourth proportional to 12,864, 17,740.14 and 8,391.18 is: 11,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864 : 17,740.14 = 8,391.18 : x
  2. Step 2: Convert to fraction form
    12,864/17,740.14 = 8,391.18/x
  3. Step 3: Cross multiply
    12,864x = 17,740.14 × 8,391.18
  4. Step 4: Simplify right side
    12,864x = 148,860,707.97
  5. Step 5: Solve for x
    x = 148,860,707.97/12,864
  6. Step 6: Final answer
    x = 11,571.88

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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.