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Finding the Fourth Proportional to 27,976.38, 38,605.05 and 16,036.98

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Solution

The fourth proportional to 27,976.38, 38,605.05 and 16,036.98 is: 22,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.38 : 38,605.05 = 16,036.98 : x
  2. Step 2: Convert to fraction form
    27,976.38/38,605.05 = 16,036.98/x
  3. Step 3: Cross multiply
    27,976.38x = 38,605.05 × 16,036.98
  4. Step 4: Simplify right side
    27,976.38x = 619,108,414.75
  5. Step 5: Solve for x
    x = 619,108,414.75/27,976.38
  6. Step 6: Final answer
    x = 22,129.68

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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.