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Finding the Fourth Proportional to 16,049.28, 22,147.68 and 8,975.76

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Solution

The fourth proportional to 16,049.28, 22,147.68 and 8,975.76 is: 12,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.28 : 22,147.68 = 8,975.76 : x
  2. Step 2: Convert to fraction form
    16,049.28/22,147.68 = 8,975.76/x
  3. Step 3: Cross multiply
    16,049.28x = 22,147.68 × 8,975.76
  4. Step 4: Simplify right side
    16,049.28x = 198,792,260.24
  5. Step 5: Solve for x
    x = 198,792,260.24/16,049.28
  6. Step 6: Final answer
    x = 12,386.37

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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.