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Finding the Fourth Proportional to 13,242.14, 19,860.17 and 7,906.82

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Solution

The fourth proportional to 13,242.14, 19,860.17 and 7,906.82 is: 11,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.14 : 19,860.17 = 7,906.82 : x
  2. Step 2: Convert to fraction form
    13,242.14/19,860.17 = 7,906.82/x
  3. Step 3: Cross multiply
    13,242.14x = 19,860.17 × 7,906.82
  4. Step 4: Simplify right side
    13,242.14x = 157,030,789.36
  5. Step 5: Solve for x
    x = 157,030,789.36/13,242.14
  6. Step 6: Final answer
    x = 11,858.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.