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Finding the Fourth Proportional to 12,760.97, 17,605.22 and 9,411.72

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Solution

The fourth proportional to 12,760.97, 17,605.22 and 9,411.72 is: 12,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.97 : 17,605.22 = 9,411.72 : x
  2. Step 2: Convert to fraction form
    12,760.97/17,605.22 = 9,411.72/x
  3. Step 3: Cross multiply
    12,760.97x = 17,605.22 × 9,411.72
  4. Step 4: Simplify right side
    12,760.97x = 165,695,288.10
  5. Step 5: Solve for x
    x = 165,695,288.10/12,760.97
  6. Step 6: Final answer
    x = 12,984.54

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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.