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Finding the Fourth Proportional to 25,855.27, 38,788.98 and 8,324.44

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Solution

The fourth proportional to 25,855.27, 38,788.98 and 8,324.44 is: 12,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.27 : 38,788.98 = 8,324.44 : x
  2. Step 2: Convert to fraction form
    25,855.27/38,788.98 = 8,324.44/x
  3. Step 3: Cross multiply
    25,855.27x = 38,788.98 × 8,324.44
  4. Step 4: Simplify right side
    25,855.27x = 322,896,536.67
  5. Step 5: Solve for x
    x = 322,896,536.67/25,855.27
  6. Step 6: Final answer
    x = 12,488.62

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Why These Related Problems?

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