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Finding the Fourth Proportional to 27,676.74, 38,194.05 and 15,101.76

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Solution

The fourth proportional to 27,676.74, 38,194.05 and 15,101.76 is: 20,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.74 : 38,194.05 = 15,101.76 : x
  2. Step 2: Convert to fraction form
    27,676.74/38,194.05 = 15,101.76/x
  3. Step 3: Cross multiply
    27,676.74x = 38,194.05 × 15,101.76
  4. Step 4: Simplify right side
    27,676.74x = 576,797,376.53
  5. Step 5: Solve for x
    x = 576,797,376.53/27,676.74
  6. Step 6: Final answer
    x = 20,840.51

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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.