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Finding the Fourth Proportional to 16,084, 22,195.92 and 9,010.42

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Solution

The fourth proportional to 16,084, 22,195.92 and 9,010.42 is: 12,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084 : 22,195.92 = 9,010.42 : x
  2. Step 2: Convert to fraction form
    16,084/22,195.92 = 9,010.42/x
  3. Step 3: Cross multiply
    16,084x = 22,195.92 × 9,010.42
  4. Step 4: Simplify right side
    16,084x = 199,994,561.49
  5. Step 5: Solve for x
    x = 199,994,561.49/16,084
  6. Step 6: Final answer
    x = 12,434.38

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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.