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Finding the Fourth Proportional to 13,286.82, 18,335.46 and 7,624.87

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Solution

The fourth proportional to 13,286.82, 18,335.46 and 7,624.87 is: 10,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.82 : 18,335.46 = 7,624.87 : x
  2. Step 2: Convert to fraction form
    13,286.82/18,335.46 = 7,624.87/x
  3. Step 3: Cross multiply
    13,286.82x = 18,335.46 × 7,624.87
  4. Step 4: Simplify right side
    13,286.82x = 139,805,481.64
  5. Step 5: Solve for x
    x = 139,805,481.64/13,286.82
  6. Step 6: Final answer
    x = 10,522.12

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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.