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Finding the Fourth Proportional to 12,286.85, 18,433.05 and 4,495.66

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Solution

The fourth proportional to 12,286.85, 18,433.05 and 4,495.66 is: 6,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.85 : 18,433.05 = 4,495.66 : x
  2. Step 2: Convert to fraction form
    12,286.85/18,433.05 = 4,495.66/x
  3. Step 3: Cross multiply
    12,286.85x = 18,433.05 × 4,495.66
  4. Step 4: Simplify right side
    12,286.85x = 82,868,633.40
  5. Step 5: Solve for x
    x = 82,868,633.40/12,286.85
  6. Step 6: Final answer
    x = 6,744.50

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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.