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Finding the Fourth Proportional to 16,049.97, 22,150.13 and 8,978.67

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Solution

The fourth proportional to 16,049.97, 22,150.13 and 8,978.67 is: 12,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.97 : 22,150.13 = 8,978.67 : x
  2. Step 2: Convert to fraction form
    16,049.97/22,150.13 = 8,978.67/x
  3. Step 3: Cross multiply
    16,049.97x = 22,150.13 × 8,978.67
  4. Step 4: Simplify right side
    16,049.97x = 198,878,662.83
  5. Step 5: Solve for x
    x = 198,878,662.83/16,049.97
  6. Step 6: Final answer
    x = 12,391.22

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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.