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Finding the Fourth Proportional to 13,843.60, 19,104.18 and 7,876.44

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Solution

The fourth proportional to 13,843.60, 19,104.18 and 7,876.44 is: 10,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.60 : 19,104.18 = 7,876.44 : x
  2. Step 2: Convert to fraction form
    13,843.60/19,104.18 = 7,876.44/x
  3. Step 3: Cross multiply
    13,843.60x = 19,104.18 × 7,876.44
  4. Step 4: Simplify right side
    13,843.60x = 150,472,927.52
  5. Step 5: Solve for x
    x = 150,472,927.52/13,843.60
  6. Step 6: Final answer
    x = 10,869.49

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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.