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Finding the Fourth Proportional to 24,151.23, 36,213.89 and 10,991.97

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Solution

The fourth proportional to 24,151.23, 36,213.89 and 10,991.97 is: 16,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.23 : 36,213.89 = 10,991.97 : x
  2. Step 2: Convert to fraction form
    24,151.23/36,213.89 = 10,991.97/x
  3. Step 3: Cross multiply
    24,151.23x = 36,213.89 × 10,991.97
  4. Step 4: Simplify right side
    24,151.23x = 398,061,937.50
  5. Step 5: Solve for x
    x = 398,061,937.50/24,151.23
  6. Step 6: Final answer
    x = 16,482.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.