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Finding the Fourth Proportional to 23,239.89, 34,874.69 and 8,447.40

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Solution

The fourth proportional to 23,239.89, 34,874.69 and 8,447.40 is: 12,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,239.89 : 34,874.69 = 8,447.40 : x
  2. Step 2: Convert to fraction form
    23,239.89/34,874.69 = 8,447.40/x
  3. Step 3: Cross multiply
    23,239.89x = 34,874.69 × 8,447.40
  4. Step 4: Simplify right side
    23,239.89x = 294,600,414.07
  5. Step 5: Solve for x
    x = 294,600,414.07/23,239.89
  6. Step 6: Final answer
    x = 12,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.