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Finding the Fourth Proportional to 24,689.81, 37,035.16 and 8,049.78

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Solution

The fourth proportional to 24,689.81, 37,035.16 and 8,049.78 is: 12,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.81 : 37,035.16 = 8,049.78 : x
  2. Step 2: Convert to fraction form
    24,689.81/37,035.16 = 8,049.78/x
  3. Step 3: Cross multiply
    24,689.81x = 37,035.16 × 8,049.78
  4. Step 4: Simplify right side
    24,689.81x = 298,124,870.14
  5. Step 5: Solve for x
    x = 298,124,870.14/24,689.81
  6. Step 6: Final answer
    x = 12,074.81

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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.