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Finding the Fourth Proportional to 27,826.70, 38,400.63 and 15,251.42

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Solution

The fourth proportional to 27,826.70, 38,400.63 and 15,251.42 is: 21,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.70 : 38,400.63 = 15,251.42 : x
  2. Step 2: Convert to fraction form
    27,826.70/38,400.63 = 15,251.42/x
  3. Step 3: Cross multiply
    27,826.70x = 38,400.63 × 15,251.42
  4. Step 4: Simplify right side
    27,826.70x = 585,664,136.39
  5. Step 5: Solve for x
    x = 585,664,136.39/27,826.70
  6. Step 6: Final answer
    x = 21,046.84

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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.