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Finding the Fourth Proportional to 12,882.19, 17,778.95 and 7,849.39

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Solution

The fourth proportional to 12,882.19, 17,778.95 and 7,849.39 is: 10,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.19 : 17,778.95 = 7,849.39 : x
  2. Step 2: Convert to fraction form
    12,882.19/17,778.95 = 7,849.39/x
  3. Step 3: Cross multiply
    12,882.19x = 17,778.95 × 7,849.39
  4. Step 4: Simplify right side
    12,882.19x = 139,553,912.34
  5. Step 5: Solve for x
    x = 139,553,912.34/12,882.19
  6. Step 6: Final answer
    x = 10,833.09

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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.