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Finding the Fourth Proportional to 12,761.57, 19,142.36 and 3,401.10

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Solution

The fourth proportional to 12,761.57, 19,142.36 and 3,401.10 is: 5,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.57 : 19,142.36 = 3,401.10 : x
  2. Step 2: Convert to fraction form
    12,761.57/19,142.36 = 3,401.10/x
  3. Step 3: Cross multiply
    12,761.57x = 19,142.36 × 3,401.10
  4. Step 4: Simplify right side
    12,761.57x = 65,105,063.59
  5. Step 5: Solve for x
    x = 65,105,063.59/12,761.57
  6. Step 6: Final answer
    x = 5,101.65

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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.