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Finding the Fourth Proportional to 24,793.26, 37,182.54 and 8,150.22

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Solution

The fourth proportional to 24,793.26, 37,182.54 and 8,150.22 is: 12,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.26 : 37,182.54 = 8,150.22 : x
  2. Step 2: Convert to fraction form
    24,793.26/37,182.54 = 8,150.22/x
  3. Step 3: Cross multiply
    24,793.26x = 37,182.54 × 8,150.22
  4. Step 4: Simplify right side
    24,793.26x = 303,045,881.16
  5. Step 5: Solve for x
    x = 303,045,881.16/24,793.26
  6. Step 6: Final answer
    x = 12,222.91

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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.