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Finding the Fourth Proportional to 16,476.58, 22,734.12 and 9,764.29

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Solution

The fourth proportional to 16,476.58, 22,734.12 and 9,764.29 is: 13,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.58 : 22,734.12 = 9,764.29 : x
  2. Step 2: Convert to fraction form
    16,476.58/22,734.12 = 9,764.29/x
  3. Step 3: Cross multiply
    16,476.58x = 22,734.12 × 9,764.29
  4. Step 4: Simplify right side
    16,476.58x = 221,982,540.57
  5. Step 5: Solve for x
    x = 221,982,540.57/16,476.58
  6. Step 6: Final answer
    x = 13,472.61

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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.