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Finding the Fourth Proportional to 22,561.33, 33,841.58 and 7,769.92

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Solution

The fourth proportional to 22,561.33, 33,841.58 and 7,769.92 is: 11,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.33 : 33,841.58 = 7,769.92 : x
  2. Step 2: Convert to fraction form
    22,561.33/33,841.58 = 7,769.92/x
  3. Step 3: Cross multiply
    22,561.33x = 33,841.58 × 7,769.92
  4. Step 4: Simplify right side
    22,561.33x = 262,946,304.09
  5. Step 5: Solve for x
    x = 262,946,304.09/22,561.33
  6. Step 6: Final answer
    x = 11,654.74

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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.