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Finding the Fourth Proportional to 26,423.20, 39,634.80 and 19,424.80

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Solution

The fourth proportional to 26,423.20, 39,634.80 and 19,424.80 is: 29,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,423.20 : 39,634.80 = 19,424.80 : x
  2. Step 2: Convert to fraction form
    26,423.20/39,634.80 = 19,424.80/x
  3. Step 3: Cross multiply
    26,423.20x = 39,634.80 × 19,424.80
  4. Step 4: Simplify right side
    26,423.20x = 769,898,063.04
  5. Step 5: Solve for x
    x = 769,898,063.04/26,423.20
  6. Step 6: Final answer
    x = 29,137.20

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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.