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Finding the Fourth Proportional to 22,410.66, 33,616.01 and 6,828.29

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Solution

The fourth proportional to 22,410.66, 33,616.01 and 6,828.29 is: 10,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.66 : 33,616.01 = 6,828.29 : x
  2. Step 2: Convert to fraction form
    22,410.66/33,616.01 = 6,828.29/x
  3. Step 3: Cross multiply
    22,410.66x = 33,616.01 × 6,828.29
  4. Step 4: Simplify right side
    22,410.66x = 229,539,662.70
  5. Step 5: Solve for x
    x = 229,539,662.70/22,410.66
  6. Step 6: Final answer
    x = 10,242.43

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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.