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Finding the Fourth Proportional to 26,881.80, 40,322.70 and 7,163.40

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Solution

The fourth proportional to 26,881.80, 40,322.70 and 7,163.40 is: 10,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,881.80 : 40,322.70 = 7,163.40 : x
  2. Step 2: Convert to fraction form
    26,881.80/40,322.70 = 7,163.40/x
  3. Step 3: Cross multiply
    26,881.80x = 40,322.70 × 7,163.40
  4. Step 4: Simplify right side
    26,881.80x = 288,847,629.18
  5. Step 5: Solve for x
    x = 288,847,629.18/26,881.80
  6. Step 6: Final answer
    x = 10,745.10

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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.