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Finding the Fourth Proportional to 24,273.81, 36,424.86 and 10,232.97

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Solution

The fourth proportional to 24,273.81, 36,424.86 and 10,232.97 is: 15,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.81 : 36,424.86 = 10,232.97 : x
  2. Step 2: Convert to fraction form
    24,273.81/36,424.86 = 10,232.97/x
  3. Step 3: Cross multiply
    24,273.81x = 36,424.86 × 10,232.97
  4. Step 4: Simplify right side
    24,273.81x = 372,734,448.47
  5. Step 5: Solve for x
    x = 372,734,448.47/24,273.81
  6. Step 6: Final answer
    x = 15,355.42

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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.