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Finding the Fourth Proportional to 12,049.31, 16,635.78 and 8,271.26

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Solution

The fourth proportional to 12,049.31, 16,635.78 and 8,271.26 is: 11,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.31 : 16,635.78 = 8,271.26 : x
  2. Step 2: Convert to fraction form
    12,049.31/16,635.78 = 8,271.26/x
  3. Step 3: Cross multiply
    12,049.31x = 16,635.78 × 8,271.26
  4. Step 4: Simplify right side
    12,049.31x = 137,598,934.46
  5. Step 5: Solve for x
    x = 137,598,934.46/12,049.31
  6. Step 6: Final answer
    x = 11,419.66

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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.