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Finding the Fourth Proportional to 17,474.88, 24,120 and 10,761.60

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Solution

The fourth proportional to 17,474.88, 24,120 and 10,761.60 is: 14,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.88 : 24,120 = 10,761.60 : x
  2. Step 2: Convert to fraction form
    17,474.88/24,120 = 10,761.60/x
  3. Step 3: Cross multiply
    17,474.88x = 24,120 × 10,761.60
  4. Step 4: Simplify right side
    17,474.88x = 259,569,792
  5. Step 5: Solve for x
    x = 259,569,792/17,474.88
  6. Step 6: Final answer
    x = 14,853.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.