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Finding the Fourth Proportional to 22,204.18, 33,308.49 and 6,409.59

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Solution

The fourth proportional to 22,204.18, 33,308.49 and 6,409.59 is: 9,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.18 : 33,308.49 = 6,409.59 : x
  2. Step 2: Convert to fraction form
    22,204.18/33,308.49 = 6,409.59/x
  3. Step 3: Cross multiply
    22,204.18x = 33,308.49 × 6,409.59
  4. Step 4: Simplify right side
    22,204.18x = 213,493,764.42
  5. Step 5: Solve for x
    x = 213,493,764.42/22,204.18
  6. Step 6: Final answer
    x = 9,615.03

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