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Finding the Fourth Proportional to 26,827.60, 40,241.20 and 8,107.60

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Solution

The fourth proportional to 26,827.60, 40,241.20 and 8,107.60 is: 12,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827.60 : 40,241.20 = 8,107.60 : x
  2. Step 2: Convert to fraction form
    26,827.60/40,241.20 = 8,107.60/x
  3. Step 3: Cross multiply
    26,827.60x = 40,241.20 × 8,107.60
  4. Step 4: Simplify right side
    26,827.60x = 326,259,553.12
  5. Step 5: Solve for x
    x = 326,259,553.12/26,827.60
  6. Step 6: Final answer
    x = 12,161.34

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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.