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Finding the Fourth Proportional to 17,114.64, 25,680.24 and 7,761.12

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Solution

The fourth proportional to 17,114.64, 25,680.24 and 7,761.12 is: 11,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.64 : 25,680.24 = 7,761.12 : x
  2. Step 2: Convert to fraction form
    17,114.64/25,680.24 = 7,761.12/x
  3. Step 3: Cross multiply
    17,114.64x = 25,680.24 × 7,761.12
  4. Step 4: Simplify right side
    17,114.64x = 199,307,424.27
  5. Step 5: Solve for x
    x = 199,307,424.27/17,114.64
  6. Step 6: Final answer
    x = 11,645.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.