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Finding the Fourth Proportional to 12,286.60, 18,386.70 and 8,571.40

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Solution

The fourth proportional to 12,286.60, 18,386.70 and 8,571.40 is: 12,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.60 : 18,386.70 = 8,571.40 : x
  2. Step 2: Convert to fraction form
    12,286.60/18,386.70 = 8,571.40/x
  3. Step 3: Cross multiply
    12,286.60x = 18,386.70 × 8,571.40
  4. Step 4: Simplify right side
    12,286.60x = 157,599,760.38
  5. Step 5: Solve for x
    x = 157,599,760.38/12,286.60
  6. Step 6: Final answer
    x = 12,826.96

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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.