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Finding the Fourth Proportional to 14,610.44, 20,162.58 and 7,986.44

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Solution

The fourth proportional to 14,610.44, 20,162.58 and 7,986.44 is: 11,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.44 : 20,162.58 = 7,986.44 : x
  2. Step 2: Convert to fraction form
    14,610.44/20,162.58 = 7,986.44/x
  3. Step 3: Cross multiply
    14,610.44x = 20,162.58 × 7,986.44
  4. Step 4: Simplify right side
    14,610.44x = 161,027,235.42
  5. Step 5: Solve for x
    x = 161,027,235.42/14,610.44
  6. Step 6: Final answer
    x = 11,021.38

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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.