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Finding the Fourth Proportional to 22,296, 33,459.36 and 7,704

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Solution

The fourth proportional to 22,296, 33,459.36 and 7,704 is: 11,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296 : 33,459.36 = 7,704 : x
  2. Step 2: Convert to fraction form
    22,296/33,459.36 = 7,704/x
  3. Step 3: Cross multiply
    22,296x = 33,459.36 × 7,704
  4. Step 4: Simplify right side
    22,296x = 257,770,909.44
  5. Step 5: Solve for x
    x = 257,770,909.44/22,296
  6. Step 6: Final answer
    x = 11,561.31

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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.