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Finding the Fourth Proportional to 16,361, 24,540.96 and 5,268.32

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Solution

The fourth proportional to 16,361, 24,540.96 and 5,268.32 is: 7,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361 : 24,540.96 = 5,268.32 : x
  2. Step 2: Convert to fraction form
    16,361/24,540.96 = 5,268.32/x
  3. Step 3: Cross multiply
    16,361x = 24,540.96 × 5,268.32
  4. Step 4: Simplify right side
    16,361x = 129,289,630.39
  5. Step 5: Solve for x
    x = 129,289,630.39/16,361
  6. Step 6: Final answer
    x = 7,902.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.