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Finding the Fourth Proportional to 13,144.68, 18,129.42 and 7,838.37

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Solution

The fourth proportional to 13,144.68, 18,129.42 and 7,838.37 is: 10,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.68 : 18,129.42 = 7,838.37 : x
  2. Step 2: Convert to fraction form
    13,144.68/18,129.42 = 7,838.37/x
  3. Step 3: Cross multiply
    13,144.68x = 18,129.42 × 7,838.37
  4. Step 4: Simplify right side
    13,144.68x = 142,105,101.85
  5. Step 5: Solve for x
    x = 142,105,101.85/13,144.68
  6. Step 6: Final answer
    x = 10,810.85

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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.