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Finding the Fourth Proportional to 22,024.82, 33,039.56 and 9,546.10

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Solution

The fourth proportional to 22,024.82, 33,039.56 and 9,546.10 is: 14,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.82 : 33,039.56 = 9,546.10 : x
  2. Step 2: Convert to fraction form
    22,024.82/33,039.56 = 9,546.10/x
  3. Step 3: Cross multiply
    22,024.82x = 33,039.56 × 9,546.10
  4. Step 4: Simplify right side
    22,024.82x = 315,398,943.72
  5. Step 5: Solve for x
    x = 315,398,943.72/22,024.82
  6. Step 6: Final answer
    x = 14,320.16

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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.