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Finding the Fourth Proportional to 13,148.39, 18,144.74 and 7,843.43

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Solution

The fourth proportional to 13,148.39, 18,144.74 and 7,843.43 is: 10,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.39 : 18,144.74 = 7,843.43 : x
  2. Step 2: Convert to fraction form
    13,148.39/18,144.74 = 7,843.43/x
  3. Step 3: Cross multiply
    13,148.39x = 18,144.74 × 7,843.43
  4. Step 4: Simplify right side
    13,148.39x = 142,316,958.84
  5. Step 5: Solve for x
    x = 142,316,958.84/13,148.39
  6. Step 6: Final answer
    x = 10,823.91

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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.