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Finding the Fourth Proportional to 13,286.40, 19,891.20 and 8,102.40

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Solution

The fourth proportional to 13,286.40, 19,891.20 and 8,102.40 is: 12,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.40 : 19,891.20 = 8,102.40 : x
  2. Step 2: Convert to fraction form
    13,286.40/19,891.20 = 8,102.40/x
  3. Step 3: Cross multiply
    13,286.40x = 19,891.20 × 8,102.40
  4. Step 4: Simplify right side
    13,286.40x = 161,166,458.88
  5. Step 5: Solve for x
    x = 161,166,458.88/13,286.40
  6. Step 6: Final answer
    x = 12,130.18

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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.