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Finding the Fourth Proportional to 27,976.38, 38,607.40 and 16,039.20

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Solution

The fourth proportional to 27,976.38, 38,607.40 and 16,039.20 is: 22,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.38 : 38,607.40 = 16,039.20 : x
  2. Step 2: Convert to fraction form
    27,976.38/38,607.40 = 16,039.20/x
  3. Step 3: Cross multiply
    27,976.38x = 38,607.40 × 16,039.20
  4. Step 4: Simplify right side
    27,976.38x = 619,231,810.08
  5. Step 5: Solve for x
    x = 619,231,810.08/27,976.38
  6. Step 6: Final answer
    x = 22,134.09

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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.