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Finding the Fourth Proportional to 13,261.94, 19,891.42 and 3,401.45

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Solution

The fourth proportional to 13,261.94, 19,891.42 and 3,401.45 is: 5,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.94 : 19,891.42 = 3,401.45 : x
  2. Step 2: Convert to fraction form
    13,261.94/19,891.42 = 3,401.45/x
  3. Step 3: Cross multiply
    13,261.94x = 19,891.42 × 3,401.45
  4. Step 4: Simplify right side
    13,261.94x = 67,659,649.95
  5. Step 5: Solve for x
    x = 67,659,649.95/13,261.94
  6. Step 6: Final answer
    x = 5,101.79

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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.