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Finding the Fourth Proportional to 22,106.52, 33,174.36 and 10,420.92

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Solution

The fourth proportional to 22,106.52, 33,174.36 and 10,420.92 is: 15,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.52 : 33,174.36 = 10,420.92 : x
  2. Step 2: Convert to fraction form
    22,106.52/33,174.36 = 10,420.92/x
  3. Step 3: Cross multiply
    22,106.52x = 33,174.36 × 10,420.92
  4. Step 4: Simplify right side
    22,106.52x = 345,707,351.61
  5. Step 5: Solve for x
    x = 345,707,351.61/22,106.52
  6. Step 6: Final answer
    x = 15,638.25

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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.