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Finding the Fourth Proportional to 27,615.38, 38,107.86 and 15,677.15

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Solution

The fourth proportional to 27,615.38, 38,107.86 and 15,677.15 is: 21,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.38 : 38,107.86 = 15,677.15 : x
  2. Step 2: Convert to fraction form
    27,615.38/38,107.86 = 15,677.15/x
  3. Step 3: Cross multiply
    27,615.38x = 38,107.86 × 15,677.15
  4. Step 4: Simplify right side
    27,615.38x = 597,422,581.32
  5. Step 5: Solve for x
    x = 597,422,581.32/27,615.38
  6. Step 6: Final answer
    x = 21,633.69

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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.