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Finding the Fourth Proportional to 26,830.70, 40,251.81 and 8,109.26

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Solution

The fourth proportional to 26,830.70, 40,251.81 and 8,109.26 is: 12,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.70 : 40,251.81 = 8,109.26 : x
  2. Step 2: Convert to fraction form
    26,830.70/40,251.81 = 8,109.26/x
  3. Step 3: Cross multiply
    26,830.70x = 40,251.81 × 8,109.26
  4. Step 4: Simplify right side
    26,830.70x = 326,412,392.76
  5. Step 5: Solve for x
    x = 326,412,392.76/26,830.70
  6. Step 6: Final answer
    x = 12,165.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.