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Finding the Fourth Proportional to 23,789.89, 35,684.43 and 8,207.11

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Solution

The fourth proportional to 23,789.89, 35,684.43 and 8,207.11 is: 12,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.89 : 35,684.43 = 8,207.11 : x
  2. Step 2: Convert to fraction form
    23,789.89/35,684.43 = 8,207.11/x
  3. Step 3: Cross multiply
    23,789.89x = 35,684.43 × 8,207.11
  4. Step 4: Simplify right side
    23,789.89x = 292,866,042.30
  5. Step 5: Solve for x
    x = 292,866,042.30/23,789.89
  6. Step 6: Final answer
    x = 12,310.53

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1.5x scale

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.