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Finding the Fourth Proportional to 22,113.90, 33,178.41 and 10,427.94

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Solution

The fourth proportional to 22,113.90, 33,178.41 and 10,427.94 is: 15,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.90 : 33,178.41 = 10,427.94 : x
  2. Step 2: Convert to fraction form
    22,113.90/33,178.41 = 10,427.94/x
  3. Step 3: Cross multiply
    22,113.90x = 33,178.41 × 10,427.94
  4. Step 4: Simplify right side
    22,113.90x = 345,982,468.78
  5. Step 5: Solve for x
    x = 345,982,468.78/22,113.90
  6. Step 6: Final answer
    x = 15,645.47

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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.