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Finding the Fourth Proportional to 25,732.35, 38,601.27 and 8,198.19

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Solution

The fourth proportional to 25,732.35, 38,601.27 and 8,198.19 is: 12,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.35 : 38,601.27 = 8,198.19 : x
  2. Step 2: Convert to fraction form
    25,732.35/38,601.27 = 8,198.19/x
  3. Step 3: Cross multiply
    25,732.35x = 38,601.27 × 8,198.19
  4. Step 4: Simplify right side
    25,732.35x = 316,460,545.70
  5. Step 5: Solve for x
    x = 316,460,545.70/25,732.35
  6. Step 6: Final answer
    x = 12,298.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.