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Finding the Fourth Proportional to 24,330, 36,495 and 5,862

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Solution

The fourth proportional to 24,330, 36,495 and 5,862 is: 8,793

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 36,495 = 5,862 : x
  2. Step 2: Convert to fraction form
    24,330/36,495 = 5,862/x
  3. Step 3: Cross multiply
    24,330x = 36,495 × 5,862
  4. Step 4: Simplify right side
    24,330x = 213,933,690
  5. Step 5: Solve for x
    x = 213,933,690/24,330
  6. Step 6: Final answer
    x = 8,793

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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.