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Finding the Fourth Proportional to 13,834.82, 19,094.19 and 8,170.18

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Solution

The fourth proportional to 13,834.82, 19,094.19 and 8,170.18 is: 11,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.82 : 19,094.19 = 8,170.18 : x
  2. Step 2: Convert to fraction form
    13,834.82/19,094.19 = 8,170.18/x
  3. Step 3: Cross multiply
    13,834.82x = 19,094.19 × 8,170.18
  4. Step 4: Simplify right side
    13,834.82x = 156,002,969.25
  5. Step 5: Solve for x
    x = 156,002,969.25/13,834.82
  6. Step 6: Final answer
    x = 11,276.11

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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.