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Finding the Fourth Proportional to 24,802.89, 37,190.34 and 8,158.43

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Solution

The fourth proportional to 24,802.89, 37,190.34 and 8,158.43 is: 12,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.89 : 37,190.34 = 8,158.43 : x
  2. Step 2: Convert to fraction form
    24,802.89/37,190.34 = 8,158.43/x
  3. Step 3: Cross multiply
    24,802.89x = 37,190.34 × 8,158.43
  4. Step 4: Simplify right side
    24,802.89x = 303,414,785.57
  5. Step 5: Solve for x
    x = 303,414,785.57/24,802.89
  6. Step 6: Final answer
    x = 12,233.04

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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.