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Finding the Fourth Proportional to 23,201.57, 34,794.56 and 8,407.40

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Solution

The fourth proportional to 23,201.57, 34,794.56 and 8,407.40 is: 12,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.57 : 34,794.56 = 8,407.40 : x
  2. Step 2: Convert to fraction form
    23,201.57/34,794.56 = 8,407.40/x
  3. Step 3: Cross multiply
    23,201.57x = 34,794.56 × 8,407.40
  4. Step 4: Simplify right side
    23,201.57x = 292,531,630.79
  5. Step 5: Solve for x
    x = 292,531,630.79/23,201.57
  6. Step 6: Final answer
    x = 12,608.27

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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.