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Finding the Fourth Proportional to 24,729.74, 37,096.11 and 8,091.53

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Solution

The fourth proportional to 24,729.74, 37,096.11 and 8,091.53 is: 12,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.74 : 37,096.11 = 8,091.53 : x
  2. Step 2: Convert to fraction form
    24,729.74/37,096.11 = 8,091.53/x
  3. Step 3: Cross multiply
    24,729.74x = 37,096.11 × 8,091.53
  4. Step 4: Simplify right side
    24,729.74x = 300,164,101.47
  5. Step 5: Solve for x
    x = 300,164,101.47/24,729.74
  6. Step 6: Final answer
    x = 12,137.78

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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.