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Finding the Fourth Proportional to 22,412.52, 33,609.05 and 7,617.46

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Solution

The fourth proportional to 22,412.52, 33,609.05 and 7,617.46 is: 11,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.52 : 33,609.05 = 7,617.46 : x
  2. Step 2: Convert to fraction form
    22,412.52/33,609.05 = 7,617.46/x
  3. Step 3: Cross multiply
    22,412.52x = 33,609.05 × 7,617.46
  4. Step 4: Simplify right side
    22,412.52x = 256,015,613.06
  5. Step 5: Solve for x
    x = 256,015,613.06/22,412.52
  6. Step 6: Final answer
    x = 11,422.89

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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.