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Finding the Fourth Proportional to 17,613, 24,306.12 and 10,540.80

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Solution

The fourth proportional to 17,613, 24,306.12 and 10,540.80 is: 14,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613 : 24,306.12 = 10,540.80 : x
  2. Step 2: Convert to fraction form
    17,613/24,306.12 = 10,540.80/x
  3. Step 3: Cross multiply
    17,613x = 24,306.12 × 10,540.80
  4. Step 4: Simplify right side
    17,613x = 256,205,949.70
  5. Step 5: Solve for x
    x = 256,205,949.70/17,613
  6. Step 6: Final answer
    x = 14,546.41

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