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Finding the Fourth Proportional to 24,793.23, 37,194.55 and 8,158.02

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Solution

The fourth proportional to 24,793.23, 37,194.55 and 8,158.02 is: 12,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.23 : 37,194.55 = 8,158.02 : x
  2. Step 2: Convert to fraction form
    24,793.23/37,194.55 = 8,158.02/x
  3. Step 3: Cross multiply
    24,793.23x = 37,194.55 × 8,158.02
  4. Step 4: Simplify right side
    24,793.23x = 303,433,964.02
  5. Step 5: Solve for x
    x = 303,433,964.02/24,793.23
  6. Step 6: Final answer
    x = 12,238.58

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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.