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Finding the Fourth Proportional to 13,882.98, 20,831.31 and 6,487.95

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Solution

The fourth proportional to 13,882.98, 20,831.31 and 6,487.95 is: 9,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.98 : 20,831.31 = 6,487.95 : x
  2. Step 2: Convert to fraction form
    13,882.98/20,831.31 = 6,487.95/x
  3. Step 3: Cross multiply
    13,882.98x = 20,831.31 × 6,487.95
  4. Step 4: Simplify right side
    13,882.98x = 135,152,497.71
  5. Step 5: Solve for x
    x = 135,152,497.71/13,882.98
  6. Step 6: Final answer
    x = 9,735.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.