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Finding the Fourth Proportional to 24,228, 36,342 and 7,812

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Solution

The fourth proportional to 24,228, 36,342 and 7,812 is: 11,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 36,342 = 7,812 : x
  2. Step 2: Convert to fraction form
    24,228/36,342 = 7,812/x
  3. Step 3: Cross multiply
    24,228x = 36,342 × 7,812
  4. Step 4: Simplify right side
    24,228x = 283,903,704
  5. Step 5: Solve for x
    x = 283,903,704/24,228
  6. Step 6: Final answer
    x = 11,718

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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.