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Finding the Fourth Proportional to 12,167.81, 18,257.34 and 4,774.23

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Solution

The fourth proportional to 12,167.81, 18,257.34 and 4,774.23 is: 7,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.81 : 18,257.34 = 4,774.23 : x
  2. Step 2: Convert to fraction form
    12,167.81/18,257.34 = 4,774.23/x
  3. Step 3: Cross multiply
    12,167.81x = 18,257.34 × 4,774.23
  4. Step 4: Simplify right side
    12,167.81x = 87,164,776.03
  5. Step 5: Solve for x
    x = 87,164,776.03/12,167.81
  6. Step 6: Final answer
    x = 7,163.55

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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.