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Finding the Fourth Proportional to 24,034.68, 33,165.81 and 13,424.07

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Solution

The fourth proportional to 24,034.68, 33,165.81 and 13,424.07 is: 18,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,034.68 : 33,165.81 = 13,424.07 : x
  2. Step 2: Convert to fraction form
    24,034.68/33,165.81 = 13,424.07/x
  3. Step 3: Cross multiply
    24,034.68x = 33,165.81 × 13,424.07
  4. Step 4: Simplify right side
    24,034.68x = 445,220,155.05
  5. Step 5: Solve for x
    x = 445,220,155.05/24,034.68
  6. Step 6: Final answer
    x = 18,524.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.