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Finding the Fourth Proportional to 24,454.92, 36,677.52 and 6,920.04

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Solution

The fourth proportional to 24,454.92, 36,677.52 and 6,920.04 is: 10,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.92 : 36,677.52 = 6,920.04 : x
  2. Step 2: Convert to fraction form
    24,454.92/36,677.52 = 6,920.04/x
  3. Step 3: Cross multiply
    24,454.92x = 36,677.52 × 6,920.04
  4. Step 4: Simplify right side
    24,454.92x = 253,809,905.50
  5. Step 5: Solve for x
    x = 253,809,905.50/24,454.92
  6. Step 6: Final answer
    x = 10,378.68

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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.