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Finding the Fourth Proportional to 13,843.88, 19,105.57 and 7,877.47

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Solution

The fourth proportional to 13,843.88, 19,105.57 and 7,877.47 is: 10,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.88 : 19,105.57 = 7,877.47 : x
  2. Step 2: Convert to fraction form
    13,843.88/19,105.57 = 7,877.47/x
  3. Step 3: Cross multiply
    13,843.88x = 19,105.57 × 7,877.47
  4. Step 4: Simplify right side
    13,843.88x = 150,503,554.51
  5. Step 5: Solve for x
    x = 150,503,554.51/13,843.88
  6. Step 6: Final answer
    x = 10,871.49

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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.