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Finding the Fourth Proportional to 16,095.38, 22,209.82 and 9,020.78

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Solution

The fourth proportional to 16,095.38, 22,209.82 and 9,020.78 is: 12,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.38 : 22,209.82 = 9,020.78 : x
  2. Step 2: Convert to fraction form
    16,095.38/22,209.82 = 9,020.78/x
  3. Step 3: Cross multiply
    16,095.38x = 22,209.82 × 9,020.78
  4. Step 4: Simplify right side
    16,095.38x = 200,349,743.91
  5. Step 5: Solve for x
    x = 200,349,743.91/16,095.38
  6. Step 6: Final answer
    x = 12,447.66

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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.