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Finding the Fourth Proportional to 16,167.97, 22,311.57 and 9,094.38

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Solution

The fourth proportional to 16,167.97, 22,311.57 and 9,094.38 is: 12,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.97 : 22,311.57 = 9,094.38 : x
  2. Step 2: Convert to fraction form
    16,167.97/22,311.57 = 9,094.38/x
  3. Step 3: Cross multiply
    16,167.97x = 22,311.57 × 9,094.38
  4. Step 4: Simplify right side
    16,167.97x = 202,909,895.98
  5. Step 5: Solve for x
    x = 202,909,895.98/16,167.97
  6. Step 6: Final answer
    x = 12,550.12

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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.