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Finding the Fourth Proportional to 12,966.66, 17,899.92 and 8,257.32

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Solution

The fourth proportional to 12,966.66, 17,899.92 and 8,257.32 is: 11,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.66 : 17,899.92 = 8,257.32 : x
  2. Step 2: Convert to fraction form
    12,966.66/17,899.92 = 8,257.32/x
  3. Step 3: Cross multiply
    12,966.66x = 17,899.92 × 8,257.32
  4. Step 4: Simplify right side
    12,966.66x = 147,805,367.41
  5. Step 5: Solve for x
    x = 147,805,367.41/12,966.66
  6. Step 6: Final answer
    x = 11,398.88

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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.