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Finding the Fourth Proportional to 12,761.54, 19,143.77 and 3,401.69

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Solution

The fourth proportional to 12,761.54, 19,143.77 and 3,401.69 is: 5,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.54 : 19,143.77 = 3,401.69 : x
  2. Step 2: Convert to fraction form
    12,761.54/19,143.77 = 3,401.69/x
  3. Step 3: Cross multiply
    12,761.54x = 19,143.77 × 3,401.69
  4. Step 4: Simplify right side
    12,761.54x = 65,121,058.24
  5. Step 5: Solve for x
    x = 65,121,058.24/12,761.54
  6. Step 6: Final answer
    x = 5,102.92

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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.