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Finding the Fourth Proportional to 27,734.80, 38,274.12 and 15,159.76

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Solution

The fourth proportional to 27,734.80, 38,274.12 and 15,159.76 is: 20,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.80 : 38,274.12 = 15,159.76 : x
  2. Step 2: Convert to fraction form
    27,734.80/38,274.12 = 15,159.76/x
  3. Step 3: Cross multiply
    27,734.80x = 38,274.12 × 15,159.76
  4. Step 4: Simplify right side
    27,734.80x = 580,226,473.41
  5. Step 5: Solve for x
    x = 580,226,473.41/27,734.80
  6. Step 6: Final answer
    x = 20,920.52

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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.