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Finding the Fourth Proportional to 22,168.61, 33,267.98 and 9,023.38

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Solution

The fourth proportional to 22,168.61, 33,267.98 and 9,023.38 is: 13,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,168.61 : 33,267.98 = 9,023.38 : x
  2. Step 2: Convert to fraction form
    22,168.61/33,267.98 = 9,023.38/x
  3. Step 3: Cross multiply
    22,168.61x = 33,267.98 × 9,023.38
  4. Step 4: Simplify right side
    22,168.61x = 300,189,625.37
  5. Step 5: Solve for x
    x = 300,189,625.37/22,168.61
  6. Step 6: Final answer
    x = 13,541.20

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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.