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Finding the Fourth Proportional to 12,546.68, 18,823.17 and 8,856.11

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Solution

The fourth proportional to 12,546.68, 18,823.17 and 8,856.11 is: 13,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.68 : 18,823.17 = 8,856.11 : x
  2. Step 2: Convert to fraction form
    12,546.68/18,823.17 = 8,856.11/x
  3. Step 3: Cross multiply
    12,546.68x = 18,823.17 × 8,856.11
  4. Step 4: Simplify right side
    12,546.68x = 166,699,969.95
  5. Step 5: Solve for x
    x = 166,699,969.95/12,546.68
  6. Step 6: Final answer
    x = 13,286.39

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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.