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Finding the Fourth Proportional to 27,695.96, 38,221.08 and 15,120.80

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Solution

The fourth proportional to 27,695.96, 38,221.08 and 15,120.80 is: 20,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.96 : 38,221.08 = 15,120.80 : x
  2. Step 2: Convert to fraction form
    27,695.96/38,221.08 = 15,120.80/x
  3. Step 3: Cross multiply
    27,695.96x = 38,221.08 × 15,120.80
  4. Step 4: Simplify right side
    27,695.96x = 577,933,306.46
  5. Step 5: Solve for x
    x = 577,933,306.46/27,695.96
  6. Step 6: Final answer
    x = 20,867.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.