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Finding the Fourth Proportional to 24,412.68, 33,689.52 and 13,234.68

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Solution

The fourth proportional to 24,412.68, 33,689.52 and 13,234.68 is: 18,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.68 : 33,689.52 = 13,234.68 : x
  2. Step 2: Convert to fraction form
    24,412.68/33,689.52 = 13,234.68/x
  3. Step 3: Cross multiply
    24,412.68x = 33,689.52 × 13,234.68
  4. Step 4: Simplify right side
    24,412.68x = 445,870,016.55
  5. Step 5: Solve for x
    x = 445,870,016.55/24,412.68
  6. Step 6: Final answer
    x = 18,263.87

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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.