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Finding the Fourth Proportional to 27,667.32, 38,180.80 and 15,092.04

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Solution

The fourth proportional to 27,667.32, 38,180.80 and 15,092.04 is: 20,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.32 : 38,180.80 = 15,092.04 : x
  2. Step 2: Convert to fraction form
    27,667.32/38,180.80 = 15,092.04/x
  3. Step 3: Cross multiply
    27,667.32x = 38,180.80 × 15,092.04
  4. Step 4: Simplify right side
    27,667.32x = 576,226,160.83
  5. Step 5: Solve for x
    x = 576,226,160.83/27,667.32
  6. Step 6: Final answer
    x = 20,826.96

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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.