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Finding the Fourth Proportional to 25,752.92, 38,604.72 and 8,211.38

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Solution

The fourth proportional to 25,752.92, 38,604.72 and 8,211.38 is: 12,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752.92 : 38,604.72 = 8,211.38 : x
  2. Step 2: Convert to fraction form
    25,752.92/38,604.72 = 8,211.38/x
  3. Step 3: Cross multiply
    25,752.92x = 38,604.72 × 8,211.38
  4. Step 4: Simplify right side
    25,752.92x = 316,998,025.71
  5. Step 5: Solve for x
    x = 316,998,025.71/25,752.92
  6. Step 6: Final answer
    x = 12,309.21

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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.