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Finding the Fourth Proportional to 23,201.97, 34,802.91 and 8,410.86

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Solution

The fourth proportional to 23,201.97, 34,802.91 and 8,410.86 is: 12,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.97 : 34,802.91 = 8,410.86 : x
  2. Step 2: Convert to fraction form
    23,201.97/34,802.91 = 8,410.86/x
  3. Step 3: Cross multiply
    23,201.97x = 34,802.91 × 8,410.86
  4. Step 4: Simplify right side
    23,201.97x = 292,722,403.60
  5. Step 5: Solve for x
    x = 292,722,403.60/23,201.97
  6. Step 6: Final answer
    x = 12,616.27

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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.