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Finding the Fourth Proportional to 24,331.46, 36,497.19 and 5,863.46

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Solution

The fourth proportional to 24,331.46, 36,497.19 and 5,863.46 is: 8,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.46 : 36,497.19 = 5,863.46 : x
  2. Step 2: Convert to fraction form
    24,331.46/36,497.19 = 5,863.46/x
  3. Step 3: Cross multiply
    24,331.46x = 36,497.19 × 5,863.46
  4. Step 4: Simplify right side
    24,331.46x = 213,999,813.68
  5. Step 5: Solve for x
    x = 213,999,813.68/24,331.46
  6. Step 6: Final answer
    x = 8,795.19

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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.