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Finding the Fourth Proportional to 24,310.41, 36,465.78 and 6,780.39

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Solution

The fourth proportional to 24,310.41, 36,465.78 and 6,780.39 is: 10,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.41 : 36,465.78 = 6,780.39 : x
  2. Step 2: Convert to fraction form
    24,310.41/36,465.78 = 6,780.39/x
  3. Step 3: Cross multiply
    24,310.41x = 36,465.78 × 6,780.39
  4. Step 4: Simplify right side
    24,310.41x = 247,252,210.05
  5. Step 5: Solve for x
    x = 247,252,210.05/24,310.41
  6. Step 6: Final answer
    x = 10,170.63

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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.