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Finding the Fourth Proportional to 25,834.08, 38,754.24 and 8,297.76

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Solution

The fourth proportional to 25,834.08, 38,754.24 and 8,297.76 is: 12,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834.08 : 38,754.24 = 8,297.76 : x
  2. Step 2: Convert to fraction form
    25,834.08/38,754.24 = 8,297.76/x
  3. Step 3: Cross multiply
    25,834.08x = 38,754.24 × 8,297.76
  4. Step 4: Simplify right side
    25,834.08x = 321,573,382.50
  5. Step 5: Solve for x
    x = 321,573,382.50/25,834.08
  6. Step 6: Final answer
    x = 12,447.64

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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.