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Finding the Fourth Proportional to 26,841.50, 40,269.40 and 9,311.30

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Solution

The fourth proportional to 26,841.50, 40,269.40 and 9,311.30 is: 13,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841.50 : 40,269.40 = 9,311.30 : x
  2. Step 2: Convert to fraction form
    26,841.50/40,269.40 = 9,311.30/x
  3. Step 3: Cross multiply
    26,841.50x = 40,269.40 × 9,311.30
  4. Step 4: Simplify right side
    26,841.50x = 374,960,464.22
  5. Step 5: Solve for x
    x = 374,960,464.22/26,841.50
  6. Step 6: Final answer
    x = 13,969.43

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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.