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Finding the Fourth Proportional to 12,494.54, 18,741.81 and 5,102.48

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Solution

The fourth proportional to 12,494.54, 18,741.81 and 5,102.48 is: 7,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.54 : 18,741.81 = 5,102.48 : x
  2. Step 2: Convert to fraction form
    12,494.54/18,741.81 = 5,102.48/x
  3. Step 3: Cross multiply
    12,494.54x = 18,741.81 × 5,102.48
  4. Step 4: Simplify right side
    12,494.54x = 95,629,591.47
  5. Step 5: Solve for x
    x = 95,629,591.47/12,494.54
  6. Step 6: Final answer
    x = 7,653.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.