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Finding the Fourth Proportional to 12,199.38, 16,835.15 and 6,610.38

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Solution

The fourth proportional to 12,199.38, 16,835.15 and 6,610.38 is: 9,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.38 : 16,835.15 = 6,610.38 : x
  2. Step 2: Convert to fraction form
    12,199.38/16,835.15 = 6,610.38/x
  3. Step 3: Cross multiply
    12,199.38x = 16,835.15 × 6,610.38
  4. Step 4: Simplify right side
    12,199.38x = 111,286,705.81
  5. Step 5: Solve for x
    x = 111,286,705.81/12,199.38
  6. Step 6: Final answer
    x = 9,122.32

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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.