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Finding the Fourth Proportional to 12,361.14, 17,058.81 and 6,772.14

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Solution

The fourth proportional to 12,361.14, 17,058.81 and 6,772.14 is: 9,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.14 : 17,058.81 = 6,772.14 : x
  2. Step 2: Convert to fraction form
    12,361.14/17,058.81 = 6,772.14/x
  3. Step 3: Cross multiply
    12,361.14x = 17,058.81 × 6,772.14
  4. Step 4: Simplify right side
    12,361.14x = 115,524,649.55
  5. Step 5: Solve for x
    x = 115,524,649.55/12,361.14
  6. Step 6: Final answer
    x = 9,345.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.