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Finding the Fourth Proportional to 12,866.43, 17,753.15 and 7,201.43

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Solution

The fourth proportional to 12,866.43, 17,753.15 and 7,201.43 is: 9,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.43 : 17,753.15 = 7,201.43 : x
  2. Step 2: Convert to fraction form
    12,866.43/17,753.15 = 7,201.43/x
  3. Step 3: Cross multiply
    12,866.43x = 17,753.15 × 7,201.43
  4. Step 4: Simplify right side
    12,866.43x = 127,847,978.24
  5. Step 5: Solve for x
    x = 127,847,978.24/12,866.43
  6. Step 6: Final answer
    x = 9,936.55

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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.