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Finding the Fourth Proportional to 12,781.56, 19,163.88 and 6,119.04

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Solution

The fourth proportional to 12,781.56, 19,163.88 and 6,119.04 is: 9,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.56 : 19,163.88 = 6,119.04 : x
  2. Step 2: Convert to fraction form
    12,781.56/19,163.88 = 6,119.04/x
  3. Step 3: Cross multiply
    12,781.56x = 19,163.88 × 6,119.04
  4. Step 4: Simplify right side
    12,781.56x = 117,264,548.28
  5. Step 5: Solve for x
    x = 117,264,548.28/12,781.56
  6. Step 6: Final answer
    x = 9,174.51

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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.