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Finding the Fourth Proportional to 13,878.07, 19,149.49 and 7,909.85

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Solution

The fourth proportional to 13,878.07, 19,149.49 and 7,909.85 is: 10,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.07 : 19,149.49 = 7,909.85 : x
  2. Step 2: Convert to fraction form
    13,878.07/19,149.49 = 7,909.85/x
  3. Step 3: Cross multiply
    13,878.07x = 19,149.49 × 7,909.85
  4. Step 4: Simplify right side
    13,878.07x = 151,469,593.48
  5. Step 5: Solve for x
    x = 151,469,593.48/13,878.07
  6. Step 6: Final answer
    x = 10,914.31

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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.