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Finding the Fourth Proportional to 25,763.10, 38,648.28 and 8,229.02

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Solution

The fourth proportional to 25,763.10, 38,648.28 and 8,229.02 is: 12,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.10 : 38,648.28 = 8,229.02 : x
  2. Step 2: Convert to fraction form
    25,763.10/38,648.28 = 8,229.02/x
  3. Step 3: Cross multiply
    25,763.10x = 38,648.28 × 8,229.02
  4. Step 4: Simplify right side
    25,763.10x = 318,037,469.09
  5. Step 5: Solve for x
    x = 318,037,469.09/25,763.10
  6. Step 6: Final answer
    x = 12,344.69

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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.