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Finding the Fourth Proportional to 22,519.22, 33,767.28 and 7,724.16

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Solution

The fourth proportional to 22,519.22, 33,767.28 and 7,724.16 is: 11,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.22 : 33,767.28 = 7,724.16 : x
  2. Step 2: Convert to fraction form
    22,519.22/33,767.28 = 7,724.16/x
  3. Step 3: Cross multiply
    22,519.22x = 33,767.28 × 7,724.16
  4. Step 4: Simplify right side
    22,519.22x = 260,823,873.48
  5. Step 5: Solve for x
    x = 260,823,873.48/22,519.22
  6. Step 6: Final answer
    x = 11,582.28

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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.