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Finding the Fourth Proportional to 22,528.98, 33,793.56 and 7,742.16

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Solution

The fourth proportional to 22,528.98, 33,793.56 and 7,742.16 is: 11,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,528.98 : 33,793.56 = 7,742.16 : x
  2. Step 2: Convert to fraction form
    22,528.98/33,793.56 = 7,742.16/x
  3. Step 3: Cross multiply
    22,528.98x = 33,793.56 × 7,742.16
  4. Step 4: Simplify right side
    22,528.98x = 261,635,148.49
  5. Step 5: Solve for x
    x = 261,635,148.49/22,528.98
  6. Step 6: Final answer
    x = 11,613.27

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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.