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Finding the Fourth Proportional to 15,022.97, 20,731.92 and 8,309.15

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Solution

The fourth proportional to 15,022.97, 20,731.92 and 8,309.15 is: 11,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.97 : 20,731.92 = 8,309.15 : x
  2. Step 2: Convert to fraction form
    15,022.97/20,731.92 = 8,309.15/x
  3. Step 3: Cross multiply
    15,022.97x = 20,731.92 × 8,309.15
  4. Step 4: Simplify right side
    15,022.97x = 172,264,633.07
  5. Step 5: Solve for x
    x = 172,264,633.07/15,022.97
  6. Step 6: Final answer
    x = 11,466.75

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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.