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Finding the Fourth Proportional to 24,279.75, 36,419.65 and 13,884.21

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Solution

The fourth proportional to 24,279.75, 36,419.65 and 13,884.21 is: 20,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,279.75 : 36,419.65 = 13,884.21 : x
  2. Step 2: Convert to fraction form
    24,279.75/36,419.65 = 13,884.21/x
  3. Step 3: Cross multiply
    24,279.75x = 36,419.65 × 13,884.21
  4. Step 4: Simplify right side
    24,279.75x = 505,658,068.73
  5. Step 5: Solve for x
    x = 505,658,068.73/24,279.75
  6. Step 6: Final answer
    x = 20,826.33

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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.