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Finding the Fourth Proportional to 22,427.70, 33,604.65 and 13,636.14

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Solution

The fourth proportional to 22,427.70, 33,604.65 and 13,636.14 is: 20,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.70 : 33,604.65 = 13,636.14 : x
  2. Step 2: Convert to fraction form
    22,427.70/33,604.65 = 13,636.14/x
  3. Step 3: Cross multiply
    22,427.70x = 33,604.65 × 13,636.14
  4. Step 4: Simplify right side
    22,427.70x = 458,237,712.05
  5. Step 5: Solve for x
    x = 458,237,712.05/22,427.70
  6. Step 6: Final answer
    x = 20,431.77

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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.