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Finding the Fourth Proportional to 27,793.38, 38,354.64 and 15,046.58

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Solution

The fourth proportional to 27,793.38, 38,354.64 and 15,046.58 is: 20,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.38 : 38,354.64 = 15,046.58 : x
  2. Step 2: Convert to fraction form
    27,793.38/38,354.64 = 15,046.58/x
  3. Step 3: Cross multiply
    27,793.38x = 38,354.64 × 15,046.58
  4. Step 4: Simplify right side
    27,793.38x = 577,106,159.13
  5. Step 5: Solve for x
    x = 577,106,159.13/27,793.38
  6. Step 6: Final answer
    x = 20,764.16

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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.