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Finding the Fourth Proportional to 23,241.90, 34,877.68 and 8,449.40

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Solution

The fourth proportional to 23,241.90, 34,877.68 and 8,449.40 is: 12,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.90 : 34,877.68 = 8,449.40 : x
  2. Step 2: Convert to fraction form
    23,241.90/34,877.68 = 8,449.40/x
  3. Step 3: Cross multiply
    23,241.90x = 34,877.68 × 8,449.40
  4. Step 4: Simplify right side
    23,241.90x = 294,695,469.39
  5. Step 5: Solve for x
    x = 294,695,469.39/23,241.90
  6. Step 6: Final answer
    x = 12,679.49

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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.