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Finding the Fourth Proportional to 24,834.10, 37,243.23 and 8,191.03

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Solution

The fourth proportional to 24,834.10, 37,243.23 and 8,191.03 is: 12,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834.10 : 37,243.23 = 8,191.03 : x
  2. Step 2: Convert to fraction form
    24,834.10/37,243.23 = 8,191.03/x
  3. Step 3: Cross multiply
    24,834.10x = 37,243.23 × 8,191.03
  4. Step 4: Simplify right side
    24,834.10x = 305,060,414.23
  5. Step 5: Solve for x
    x = 305,060,414.23/24,834.10
  6. Step 6: Final answer
    x = 12,283.93

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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.