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Finding the Fourth Proportional to 22,431.41, 33,636.09 and 13,073.78

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Solution

The fourth proportional to 22,431.41, 33,636.09 and 13,073.78 is: 19,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.41 : 33,636.09 = 13,073.78 : x
  2. Step 2: Convert to fraction form
    22,431.41/33,636.09 = 13,073.78/x
  3. Step 3: Cross multiply
    22,431.41x = 33,636.09 × 13,073.78
  4. Step 4: Simplify right side
    22,431.41x = 439,750,672.54
  5. Step 5: Solve for x
    x = 439,750,672.54/22,431.41
  6. Step 6: Final answer
    x = 19,604.24

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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.