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Finding the Fourth Proportional to 24,328, 36,492 and 7,912

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Solution

The fourth proportional to 24,328, 36,492 and 7,912 is: 11,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328 : 36,492 = 7,912 : x
  2. Step 2: Convert to fraction form
    24,328/36,492 = 7,912/x
  3. Step 3: Cross multiply
    24,328x = 36,492 × 7,912
  4. Step 4: Simplify right side
    24,328x = 288,724,704
  5. Step 5: Solve for x
    x = 288,724,704/24,328
  6. Step 6: Final answer
    x = 11,868

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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.