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Finding the Fourth Proportional to 12,448.75, 18,667.02 and 5,434.69

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Solution

The fourth proportional to 12,448.75, 18,667.02 and 5,434.69 is: 8,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.75 : 18,667.02 = 5,434.69 : x
  2. Step 2: Convert to fraction form
    12,448.75/18,667.02 = 5,434.69/x
  3. Step 3: Cross multiply
    12,448.75x = 18,667.02 × 5,434.69
  4. Step 4: Simplify right side
    12,448.75x = 101,449,466.92
  5. Step 5: Solve for x
    x = 101,449,466.92/12,448.75
  6. Step 6: Final answer
    x = 8,149.37

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