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Finding the Fourth Proportional to 13,991.67, 19,308.17 and 7,618.14

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Solution

The fourth proportional to 13,991.67, 19,308.17 and 7,618.14 is: 10,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.67 : 19,308.17 = 7,618.14 : x
  2. Step 2: Convert to fraction form
    13,991.67/19,308.17 = 7,618.14/x
  3. Step 3: Cross multiply
    13,991.67x = 19,308.17 × 7,618.14
  4. Step 4: Simplify right side
    13,991.67x = 147,092,361.25
  5. Step 5: Solve for x
    x = 147,092,361.25/13,991.67
  6. Step 6: Final answer
    x = 10,512.85

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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.