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Finding the Fourth Proportional to 24,834.75, 34,279.25 and 14,770.32

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Solution

The fourth proportional to 24,834.75, 34,279.25 and 14,770.32 is: 20,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834.75 : 34,279.25 = 14,770.32 : x
  2. Step 2: Convert to fraction form
    24,834.75/34,279.25 = 14,770.32/x
  3. Step 3: Cross multiply
    24,834.75x = 34,279.25 × 14,770.32
  4. Step 4: Simplify right side
    24,834.75x = 506,315,418.01
  5. Step 5: Solve for x
    x = 506,315,418.01/24,834.75
  6. Step 6: Final answer
    x = 20,387.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.