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Finding the Fourth Proportional to 24,546.68, 33,874.42 and 13,368.68

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Solution

The fourth proportional to 24,546.68, 33,874.42 and 13,368.68 is: 18,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.68 : 33,874.42 = 13,368.68 : x
  2. Step 2: Convert to fraction form
    24,546.68/33,874.42 = 13,368.68/x
  3. Step 3: Cross multiply
    24,546.68x = 33,874.42 × 13,368.68
  4. Step 4: Simplify right side
    24,546.68x = 452,856,281.17
  5. Step 5: Solve for x
    x = 452,856,281.17/24,546.68
  6. Step 6: Final answer
    x = 18,448.78

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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.