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Finding the Fourth Proportional to 12,571, 17,347.98 and 6,982.52

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Solution

The fourth proportional to 12,571, 17,347.98 and 6,982.52 is: 9,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571 : 17,347.98 = 6,982.52 : x
  2. Step 2: Convert to fraction form
    12,571/17,347.98 = 6,982.52/x
  3. Step 3: Cross multiply
    12,571x = 17,347.98 × 6,982.52
  4. Step 4: Simplify right side
    12,571x = 121,132,617.31
  5. Step 5: Solve for x
    x = 121,132,617.31/12,571
  6. Step 6: Final answer
    x = 9,635.88

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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.