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Finding the Fourth Proportional to 13,252.60, 18,286.81 and 8,214.99

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Solution

The fourth proportional to 13,252.60, 18,286.81 and 8,214.99 is: 11,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.60 : 18,286.81 = 8,214.99 : x
  2. Step 2: Convert to fraction form
    13,252.60/18,286.81 = 8,214.99/x
  3. Step 3: Cross multiply
    13,252.60x = 18,286.81 × 8,214.99
  4. Step 4: Simplify right side
    13,252.60x = 150,225,918.38
  5. Step 5: Solve for x
    x = 150,225,918.38/13,252.60
  6. Step 6: Final answer
    x = 11,335.58

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Why These Related Problems?

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