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Finding the Fourth Proportional to 12,882.35, 17,778.15 and 7,217.14

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Solution

The fourth proportional to 12,882.35, 17,778.15 and 7,217.14 is: 9,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.35 : 17,778.15 = 7,217.14 : x
  2. Step 2: Convert to fraction form
    12,882.35/17,778.15 = 7,217.14/x
  3. Step 3: Cross multiply
    12,882.35x = 17,778.15 × 7,217.14
  4. Step 4: Simplify right side
    12,882.35x = 128,307,410.02
  5. Step 5: Solve for x
    x = 128,307,410.02/12,882.35
  6. Step 6: Final answer
    x = 9,959.94

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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.