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Finding the Fourth Proportional to 18,766.41, 28,142.47 and 7,667.13

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Solution

The fourth proportional to 18,766.41, 28,142.47 and 7,667.13 is: 11,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.41 : 28,142.47 = 7,667.13 : x
  2. Step 2: Convert to fraction form
    18,766.41/28,142.47 = 7,667.13/x
  3. Step 3: Cross multiply
    18,766.41x = 28,142.47 × 7,667.13
  4. Step 4: Simplify right side
    18,766.41x = 215,771,976.01
  5. Step 5: Solve for x
    x = 215,771,976.01/18,766.41
  6. Step 6: Final answer
    x = 11,497.78

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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.