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Finding the Fourth Proportional to 22,308.40, 33,427.06 and 11,778

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Solution

The fourth proportional to 22,308.40, 33,427.06 and 11,778 is: 17,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.40 : 33,427.06 = 11,778 : x
  2. Step 2: Convert to fraction form
    22,308.40/33,427.06 = 11,778/x
  3. Step 3: Cross multiply
    22,308.40x = 33,427.06 × 11,778
  4. Step 4: Simplify right side
    22,308.40x = 393,703,912.68
  5. Step 5: Solve for x
    x = 393,703,912.68/22,308.40
  6. Step 6: Final answer
    x = 17,648.24

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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.