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Finding the Fourth Proportional to 24,781.41, 37,183.05 and 10,019.16

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Solution

The fourth proportional to 24,781.41, 37,183.05 and 10,019.16 is: 15,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.41 : 37,183.05 = 10,019.16 : x
  2. Step 2: Convert to fraction form
    24,781.41/37,183.05 = 10,019.16/x
  3. Step 3: Cross multiply
    24,781.41x = 37,183.05 × 10,019.16
  4. Step 4: Simplify right side
    24,781.41x = 372,542,927.24
  5. Step 5: Solve for x
    x = 372,542,927.24/24,781.41
  6. Step 6: Final answer
    x = 15,033.16

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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.