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Finding the Fourth Proportional to 24,739.95, 37,115.10 and 8,098.68

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Solution

The fourth proportional to 24,739.95, 37,115.10 and 8,098.68 is: 12,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.95 : 37,115.10 = 8,098.68 : x
  2. Step 2: Convert to fraction form
    24,739.95/37,115.10 = 8,098.68/x
  3. Step 3: Cross multiply
    24,739.95x = 37,115.10 × 8,098.68
  4. Step 4: Simplify right side
    24,739.95x = 300,583,318.07
  5. Step 5: Solve for x
    x = 300,583,318.07/24,739.95
  6. Step 6: Final answer
    x = 12,149.71

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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.