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Finding the Fourth Proportional to 16,057.43, 22,158.80 and 8,887.65

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Solution

The fourth proportional to 16,057.43, 22,158.80 and 8,887.65 is: 12,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.43 : 22,158.80 = 8,887.65 : x
  2. Step 2: Convert to fraction form
    16,057.43/22,158.80 = 8,887.65/x
  3. Step 3: Cross multiply
    16,057.43x = 22,158.80 × 8,887.65
  4. Step 4: Simplify right side
    16,057.43x = 196,939,614.38
  5. Step 5: Solve for x
    x = 196,939,614.38/16,057.43
  6. Step 6: Final answer
    x = 12,264.71

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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.