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Finding the Fourth Proportional to 24,920, 37,380.72 and 6,452

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Solution

The fourth proportional to 24,920, 37,380.72 and 6,452 is: 9,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920 : 37,380.72 = 6,452 : x
  2. Step 2: Convert to fraction form
    24,920/37,380.72 = 6,452/x
  3. Step 3: Cross multiply
    24,920x = 37,380.72 × 6,452
  4. Step 4: Simplify right side
    24,920x = 241,180,405.44
  5. Step 5: Solve for x
    x = 241,180,405.44/24,920
  6. Step 6: Final answer
    x = 9,678.19

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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.