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Finding the Fourth Proportional to 12,881.76, 17,778.25 and 7,217.43

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Solution

The fourth proportional to 12,881.76, 17,778.25 and 7,217.43 is: 9,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.76 : 17,778.25 = 7,217.43 : x
  2. Step 2: Convert to fraction form
    12,881.76/17,778.25 = 7,217.43/x
  3. Step 3: Cross multiply
    12,881.76x = 17,778.25 × 7,217.43
  4. Step 4: Simplify right side
    12,881.76x = 128,313,274.90
  5. Step 5: Solve for x
    x = 128,313,274.90/12,881.76
  6. Step 6: Final answer
    x = 9,960.85

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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.