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Finding the Fourth Proportional to 16,069.36, 22,176.18 and 8,995.74

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Solution

The fourth proportional to 16,069.36, 22,176.18 and 8,995.74 is: 12,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.36 : 22,176.18 = 8,995.74 : x
  2. Step 2: Convert to fraction form
    16,069.36/22,176.18 = 8,995.74/x
  3. Step 3: Cross multiply
    16,069.36x = 22,176.18 × 8,995.74
  4. Step 4: Simplify right side
    16,069.36x = 199,491,149.47
  5. Step 5: Solve for x
    x = 199,491,149.47/16,069.36
  6. Step 6: Final answer
    x = 12,414.38

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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.