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Finding the Fourth Proportional to 22,410.78, 33,615.36 and 6,828

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Solution

The fourth proportional to 22,410.78, 33,615.36 and 6,828 is: 10,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.78 : 33,615.36 = 6,828 : x
  2. Step 2: Convert to fraction form
    22,410.78/33,615.36 = 6,828/x
  3. Step 3: Cross multiply
    22,410.78x = 33,615.36 × 6,828
  4. Step 4: Simplify right side
    22,410.78x = 229,525,678.08
  5. Step 5: Solve for x
    x = 229,525,678.08/22,410.78
  6. Step 6: Final answer
    x = 10,241.75

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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.