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Finding the Fourth Proportional to 13,770.75, 19,008.14 and 8,105.43

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Solution

The fourth proportional to 13,770.75, 19,008.14 and 8,105.43 is: 11,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.75 : 19,008.14 = 8,105.43 : x
  2. Step 2: Convert to fraction form
    13,770.75/19,008.14 = 8,105.43/x
  3. Step 3: Cross multiply
    13,770.75x = 19,008.14 × 8,105.43
  4. Step 4: Simplify right side
    13,770.75x = 154,069,107.67
  5. Step 5: Solve for x
    x = 154,069,107.67/13,770.75
  6. Step 6: Final answer
    x = 11,188.14

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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.