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Finding the Fourth Proportional to 14,814.72, 20,431.08 and 9,775.44

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Solution

The fourth proportional to 14,814.72, 20,431.08 and 9,775.44 is: 13,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.72 : 20,431.08 = 9,775.44 : x
  2. Step 2: Convert to fraction form
    14,814.72/20,431.08 = 9,775.44/x
  3. Step 3: Cross multiply
    14,814.72x = 20,431.08 × 9,775.44
  4. Step 4: Simplify right side
    14,814.72x = 199,722,796.68
  5. Step 5: Solve for x
    x = 199,722,796.68/14,814.72
  6. Step 6: Final answer
    x = 13,481.38

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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.