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Finding the Fourth Proportional to 22,412.34, 33,618.27 and 5,772.30

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Solution

The fourth proportional to 22,412.34, 33,618.27 and 5,772.30 is: 8,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.34 : 33,618.27 = 5,772.30 : x
  2. Step 2: Convert to fraction form
    22,412.34/33,618.27 = 5,772.30/x
  3. Step 3: Cross multiply
    22,412.34x = 33,618.27 × 5,772.30
  4. Step 4: Simplify right side
    22,412.34x = 194,054,739.92
  5. Step 5: Solve for x
    x = 194,054,739.92/22,412.34
  6. Step 6: Final answer
    x = 8,658.39

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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.