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Finding the Fourth Proportional to 16,520.38, 22,798.80 and 9,446.80

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Solution

The fourth proportional to 16,520.38, 22,798.80 and 9,446.80 is: 13,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.38 : 22,798.80 = 9,446.80 : x
  2. Step 2: Convert to fraction form
    16,520.38/22,798.80 = 9,446.80/x
  3. Step 3: Cross multiply
    16,520.38x = 22,798.80 × 9,446.80
  4. Step 4: Simplify right side
    16,520.38x = 215,375,703.84
  5. Step 5: Solve for x
    x = 215,375,703.84/16,520.38
  6. Step 6: Final answer
    x = 13,036.97

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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.