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Finding the Fourth Proportional to 13,907.97, 19,189.68 and 8,241.75

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Solution

The fourth proportional to 13,907.97, 19,189.68 and 8,241.75 is: 11,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.97 : 19,189.68 = 8,241.75 : x
  2. Step 2: Convert to fraction form
    13,907.97/19,189.68 = 8,241.75/x
  3. Step 3: Cross multiply
    13,907.97x = 19,189.68 × 8,241.75
  4. Step 4: Simplify right side
    13,907.97x = 158,156,545.14
  5. Step 5: Solve for x
    x = 158,156,545.14/13,907.97
  6. Step 6: Final answer
    x = 11,371.65

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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.