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Finding the Fourth Proportional to 12,400, 18,601.12 and 3,166.08

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Solution

The fourth proportional to 12,400, 18,601.12 and 3,166.08 is: 4,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400 : 18,601.12 = 3,166.08 : x
  2. Step 2: Convert to fraction form
    12,400/18,601.12 = 3,166.08/x
  3. Step 3: Cross multiply
    12,400x = 18,601.12 × 3,166.08
  4. Step 4: Simplify right side
    12,400x = 58,892,634.01
  5. Step 5: Solve for x
    x = 58,892,634.01/12,400
  6. Step 6: Final answer
    x = 4,749.41

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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.