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Finding the Fourth Proportional to 24,274.07, 36,419.87 and 8,481.42

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Solution

The fourth proportional to 24,274.07, 36,419.87 and 8,481.42 is: 12,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.07 : 36,419.87 = 8,481.42 : x
  2. Step 2: Convert to fraction form
    24,274.07/36,419.87 = 8,481.42/x
  3. Step 3: Cross multiply
    24,274.07x = 36,419.87 × 8,481.42
  4. Step 4: Simplify right side
    24,274.07x = 308,892,171.41
  5. Step 5: Solve for x
    x = 308,892,171.41/24,274.07
  6. Step 6: Final answer
    x = 12,725.19

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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.