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Finding the Fourth Proportional to 13,076.25, 19,614.38 and 3,842.25

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Solution

The fourth proportional to 13,076.25, 19,614.38 and 3,842.25 is: 5,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.25 : 19,614.38 = 3,842.25 : x
  2. Step 2: Convert to fraction form
    13,076.25/19,614.38 = 3,842.25/x
  3. Step 3: Cross multiply
    13,076.25x = 19,614.38 × 3,842.25
  4. Step 4: Simplify right side
    13,076.25x = 75,363,351.56
  5. Step 5: Solve for x
    x = 75,363,351.56/13,076.25
  6. Step 6: Final answer
    x = 5,763.38

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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.