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Finding the Fourth Proportional to 13,549.66, 20,306.02 and 8,286.50

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Solution

The fourth proportional to 13,549.66, 20,306.02 and 8,286.50 is: 12,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.66 : 20,306.02 = 8,286.50 : x
  2. Step 2: Convert to fraction form
    13,549.66/20,306.02 = 8,286.50/x
  3. Step 3: Cross multiply
    13,549.66x = 20,306.02 × 8,286.50
  4. Step 4: Simplify right side
    13,549.66x = 168,265,834.73
  5. Step 5: Solve for x
    x = 168,265,834.73/13,549.66
  6. Step 6: Final answer
    x = 12,418.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.