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Finding the Fourth Proportional to 22,219.20, 33,305.76 and 7,416.96

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Solution

The fourth proportional to 22,219.20, 33,305.76 and 7,416.96 is: 11,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.20 : 33,305.76 = 7,416.96 : x
  2. Step 2: Convert to fraction form
    22,219.20/33,305.76 = 7,416.96/x
  3. Step 3: Cross multiply
    22,219.20x = 33,305.76 × 7,416.96
  4. Step 4: Simplify right side
    22,219.20x = 247,027,489.69
  5. Step 5: Solve for x
    x = 247,027,489.69/22,219.20
  6. Step 6: Final answer
    x = 11,117.75

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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.