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Finding the Fourth Proportional to 16,049.43, 22,156.92 and 9,677.16

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Solution

The fourth proportional to 16,049.43, 22,156.92 and 9,677.16 is: 13,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.43 : 22,156.92 = 9,677.16 : x
  2. Step 2: Convert to fraction form
    16,049.43/22,156.92 = 9,677.16/x
  3. Step 3: Cross multiply
    16,049.43x = 22,156.92 × 9,677.16
  4. Step 4: Simplify right side
    16,049.43x = 214,416,059.95
  5. Step 5: Solve for x
    x = 214,416,059.95/16,049.43
  6. Step 6: Final answer
    x = 13,359.73

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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.