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Finding the Fourth Proportional to 16,078.56, 22,188.38 and 8,908.85

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Solution

The fourth proportional to 16,078.56, 22,188.38 and 8,908.85 is: 12,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.56 : 22,188.38 = 8,908.85 : x
  2. Step 2: Convert to fraction form
    16,078.56/22,188.38 = 8,908.85/x
  3. Step 3: Cross multiply
    16,078.56x = 22,188.38 × 8,908.85
  4. Step 4: Simplify right side
    16,078.56x = 197,672,949.16
  5. Step 5: Solve for x
    x = 197,672,949.16/16,078.56
  6. Step 6: Final answer
    x = 12,294.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.