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Finding the Fourth Proportional to 27,689.82, 38,212.35 and 15,114.30

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Solution

The fourth proportional to 27,689.82, 38,212.35 and 15,114.30 is: 20,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.82 : 38,212.35 = 15,114.30 : x
  2. Step 2: Convert to fraction form
    27,689.82/38,212.35 = 15,114.30/x
  3. Step 3: Cross multiply
    27,689.82x = 38,212.35 × 15,114.30
  4. Step 4: Simplify right side
    27,689.82x = 577,552,921.61
  5. Step 5: Solve for x
    x = 577,552,921.61/27,689.82
  6. Step 6: Final answer
    x = 20,857.95

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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.