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Finding the Fourth Proportional to 25,758.36, 38,633.82 and 8,225.88

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Solution

The fourth proportional to 25,758.36, 38,633.82 and 8,225.88 is: 12,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.36 : 38,633.82 = 8,225.88 : x
  2. Step 2: Convert to fraction form
    25,758.36/38,633.82 = 8,225.88/x
  3. Step 3: Cross multiply
    25,758.36x = 38,633.82 × 8,225.88
  4. Step 4: Simplify right side
    25,758.36x = 317,797,167.26
  5. Step 5: Solve for x
    x = 317,797,167.26/25,758.36
  6. Step 6: Final answer
    x = 12,337.63

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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.