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Finding the Fourth Proportional to 24,713.87, 37,065.94 and 8,074.49

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Solution

The fourth proportional to 24,713.87, 37,065.94 and 8,074.49 is: 12,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.87 : 37,065.94 = 8,074.49 : x
  2. Step 2: Convert to fraction form
    24,713.87/37,065.94 = 8,074.49/x
  3. Step 3: Cross multiply
    24,713.87x = 37,065.94 × 8,074.49
  4. Step 4: Simplify right side
    24,713.87x = 299,288,356.35
  5. Step 5: Solve for x
    x = 299,288,356.35/24,713.87
  6. Step 6: Final answer
    x = 12,110.14

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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.