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Finding the Fourth Proportional to 24,342, 36,513 and 5,874

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Solution

The fourth proportional to 24,342, 36,513 and 5,874 is: 8,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342 : 36,513 = 5,874 : x
  2. Step 2: Convert to fraction form
    24,342/36,513 = 5,874/x
  3. Step 3: Cross multiply
    24,342x = 36,513 × 5,874
  4. Step 4: Simplify right side
    24,342x = 214,477,362
  5. Step 5: Solve for x
    x = 214,477,362/24,342
  6. Step 6: Final answer
    x = 8,811

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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.