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Finding the Fourth Proportional to 24,761.77, 37,142.52 and 8,121.67

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Solution

The fourth proportional to 24,761.77, 37,142.52 and 8,121.67 is: 12,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.77 : 37,142.52 = 8,121.67 : x
  2. Step 2: Convert to fraction form
    24,761.77/37,142.52 = 8,121.67/x
  3. Step 3: Cross multiply
    24,761.77x = 37,142.52 × 8,121.67
  4. Step 4: Simplify right side
    24,761.77x = 301,659,290.41
  5. Step 5: Solve for x
    x = 301,659,290.41/24,761.77
  6. Step 6: Final answer
    x = 12,182.46

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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.