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Finding the Fourth Proportional to 27,854.29, 38,451.95 and 18,902.17

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Solution

The fourth proportional to 27,854.29, 38,451.95 and 18,902.17 is: 26,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.29 : 38,451.95 = 18,902.17 : x
  2. Step 2: Convert to fraction form
    27,854.29/38,451.95 = 18,902.17/x
  3. Step 3: Cross multiply
    27,854.29x = 38,451.95 × 18,902.17
  4. Step 4: Simplify right side
    27,854.29x = 726,825,295.73
  5. Step 5: Solve for x
    x = 726,825,295.73/27,854.29
  6. Step 6: Final answer
    x = 26,093.84

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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.