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Finding the Fourth Proportional to 16,286.88, 22,475.90 and 9,213.15

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Solution

The fourth proportional to 16,286.88, 22,475.90 and 9,213.15 is: 12,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.88 : 22,475.90 = 9,213.15 : x
  2. Step 2: Convert to fraction form
    16,286.88/22,475.90 = 9,213.15/x
  3. Step 3: Cross multiply
    16,286.88x = 22,475.90 × 9,213.15
  4. Step 4: Simplify right side
    16,286.88x = 207,073,838.09
  5. Step 5: Solve for x
    x = 207,073,838.09/16,286.88
  6. Step 6: Final answer
    x = 12,714.15

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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.