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Finding the Fourth Proportional to 13,286.60, 18,335.14 and 7,318.16

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Solution

The fourth proportional to 13,286.60, 18,335.14 and 7,318.16 is: 10,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.60 : 18,335.14 = 7,318.16 : x
  2. Step 2: Convert to fraction form
    13,286.60/18,335.14 = 7,318.16/x
  3. Step 3: Cross multiply
    13,286.60x = 18,335.14 × 7,318.16
  4. Step 4: Simplify right side
    13,286.60x = 134,179,446.93
  5. Step 5: Solve for x
    x = 134,179,446.93/13,286.60
  6. Step 6: Final answer
    x = 10,098.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.