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Finding the Fourth Proportional to 26,822.70, 40,218.42 and 8,097.12

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Solution

The fourth proportional to 26,822.70, 40,218.42 and 8,097.12 is: 12,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.70 : 40,218.42 = 8,097.12 : x
  2. Step 2: Convert to fraction form
    26,822.70/40,218.42 = 8,097.12/x
  3. Step 3: Cross multiply
    26,822.70x = 40,218.42 × 8,097.12
  4. Step 4: Simplify right side
    26,822.70x = 325,653,372.95
  5. Step 5: Solve for x
    x = 325,653,372.95/26,822.70
  6. Step 6: Final answer
    x = 12,140.96

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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.