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Finding the Fourth Proportional to 12,190.14, 16,822.26 and 6,601.14

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Solution

The fourth proportional to 12,190.14, 16,822.26 and 6,601.14 is: 9,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.14 : 16,822.26 = 6,601.14 : x
  2. Step 2: Convert to fraction form
    12,190.14/16,822.26 = 6,601.14/x
  3. Step 3: Cross multiply
    12,190.14x = 16,822.26 × 6,601.14
  4. Step 4: Simplify right side
    12,190.14x = 111,046,093.38
  5. Step 5: Solve for x
    x = 111,046,093.38/12,190.14
  6. Step 6: Final answer
    x = 9,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.