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Finding the Fourth Proportional to 12,488.50, 18,728.62 and 4,166.22

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Solution

The fourth proportional to 12,488.50, 18,728.62 and 4,166.22 is: 6,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.50 : 18,728.62 = 4,166.22 : x
  2. Step 2: Convert to fraction form
    12,488.50/18,728.62 = 4,166.22/x
  3. Step 3: Cross multiply
    12,488.50x = 18,728.62 × 4,166.22
  4. Step 4: Simplify right side
    12,488.50x = 78,027,551.22
  5. Step 5: Solve for x
    x = 78,027,551.22/12,488.50
  6. Step 6: Final answer
    x = 6,247.95

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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.