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Finding the Fourth Proportional to 27,841.82, 38,371.50 and 20,276.17

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Solution

The fourth proportional to 27,841.82, 38,371.50 and 20,276.17 is: 27,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.82 : 38,371.50 = 20,276.17 : x
  2. Step 2: Convert to fraction form
    27,841.82/38,371.50 = 20,276.17/x
  3. Step 3: Cross multiply
    27,841.82x = 38,371.50 × 20,276.17
  4. Step 4: Simplify right side
    27,841.82x = 778,026,961.23
  5. Step 5: Solve for x
    x = 778,026,961.23/27,841.82
  6. Step 6: Final answer
    x = 27,944.55

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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.