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Finding the Fourth Proportional to 22,496.08, 33,744.60 and 7,722

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Solution

The fourth proportional to 22,496.08, 33,744.60 and 7,722 is: 11,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.08 : 33,744.60 = 7,722 : x
  2. Step 2: Convert to fraction form
    22,496.08/33,744.60 = 7,722/x
  3. Step 3: Cross multiply
    22,496.08x = 33,744.60 × 7,722
  4. Step 4: Simplify right side
    22,496.08x = 260,575,801.20
  5. Step 5: Solve for x
    x = 260,575,801.20/22,496.08
  6. Step 6: Final answer
    x = 11,583.16

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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.