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Finding the Fourth Proportional to 22,078.72, 33,119.16 and 7,284.88

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Solution

The fourth proportional to 22,078.72, 33,119.16 and 7,284.88 is: 10,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.72 : 33,119.16 = 7,284.88 : x
  2. Step 2: Convert to fraction form
    22,078.72/33,119.16 = 7,284.88/x
  3. Step 3: Cross multiply
    22,078.72x = 33,119.16 × 7,284.88
  4. Step 4: Simplify right side
    22,078.72x = 241,269,106.30
  5. Step 5: Solve for x
    x = 241,269,106.30/22,078.72
  6. Step 6: Final answer
    x = 10,927.68

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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.