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Finding the Fourth Proportional to 25,651.92, 38,483.80 and 8,121.74

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Solution

The fourth proportional to 25,651.92, 38,483.80 and 8,121.74 is: 12,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.92 : 38,483.80 = 8,121.74 : x
  2. Step 2: Convert to fraction form
    25,651.92/38,483.80 = 8,121.74/x
  3. Step 3: Cross multiply
    25,651.92x = 38,483.80 × 8,121.74
  4. Step 4: Simplify right side
    25,651.92x = 312,555,552.64
  5. Step 5: Solve for x
    x = 312,555,552.64/25,651.92
  6. Step 6: Final answer
    x = 12,184.49

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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.