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Finding the Fourth Proportional to 14,697.11, 20,282.16 and 7,982.75

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Solution

The fourth proportional to 14,697.11, 20,282.16 and 7,982.75 is: 11,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.11 : 20,282.16 = 7,982.75 : x
  2. Step 2: Convert to fraction form
    14,697.11/20,282.16 = 7,982.75/x
  3. Step 3: Cross multiply
    14,697.11x = 20,282.16 × 7,982.75
  4. Step 4: Simplify right side
    14,697.11x = 161,907,493.38
  5. Step 5: Solve for x
    x = 161,907,493.38/14,697.11
  6. Step 6: Final answer
    x = 11,016.28

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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.