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Finding the Fourth Proportional to 13,781.24, 19,012.02 and 8,189

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Solution

The fourth proportional to 13,781.24, 19,012.02 and 8,189 is: 11,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.24 : 19,012.02 = 8,189 : x
  2. Step 2: Convert to fraction form
    13,781.24/19,012.02 = 8,189/x
  3. Step 3: Cross multiply
    13,781.24x = 19,012.02 × 8,189
  4. Step 4: Simplify right side
    13,781.24x = 155,689,431.78
  5. Step 5: Solve for x
    x = 155,689,431.78/13,781.24
  6. Step 6: Final answer
    x = 11,297.20

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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.