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Finding the Fourth Proportional to 12,308.71, 18,469.22 and 5,735.41

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Solution

The fourth proportional to 12,308.71, 18,469.22 and 5,735.41 is: 8,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.71 : 18,469.22 = 5,735.41 : x
  2. Step 2: Convert to fraction form
    12,308.71/18,469.22 = 5,735.41/x
  3. Step 3: Cross multiply
    12,308.71x = 18,469.22 × 5,735.41
  4. Step 4: Simplify right side
    12,308.71x = 105,928,474.23
  5. Step 5: Solve for x
    x = 105,928,474.23/12,308.71
  6. Step 6: Final answer
    x = 8,605.98

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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.