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Finding the Fourth Proportional to 16,475.20, 22,734.86 and 9,761.44

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Solution

The fourth proportional to 16,475.20, 22,734.86 and 9,761.44 is: 13,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.20 : 22,734.86 = 9,761.44 : x
  2. Step 2: Convert to fraction form
    16,475.20/22,734.86 = 9,761.44/x
  3. Step 3: Cross multiply
    16,475.20x = 22,734.86 × 9,761.44
  4. Step 4: Simplify right side
    16,475.20x = 221,924,971.80
  5. Step 5: Solve for x
    x = 221,924,971.80/16,475.20
  6. Step 6: Final answer
    x = 13,470.24

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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.