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Finding the Fourth Proportional to 12,869.82, 17,760.17 and 7,204.47

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Solution

The fourth proportional to 12,869.82, 17,760.17 and 7,204.47 is: 9,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.82 : 17,760.17 = 7,204.47 : x
  2. Step 2: Convert to fraction form
    12,869.82/17,760.17 = 7,204.47/x
  3. Step 3: Cross multiply
    12,869.82x = 17,760.17 × 7,204.47
  4. Step 4: Simplify right side
    12,869.82x = 127,952,575.94
  5. Step 5: Solve for x
    x = 127,952,575.94/12,869.82
  6. Step 6: Final answer
    x = 9,942.06

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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.