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Finding the Fourth Proportional to 22,560.66, 33,839.55 and 7,769.88

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Solution

The fourth proportional to 22,560.66, 33,839.55 and 7,769.88 is: 11,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560.66 : 33,839.55 = 7,769.88 : x
  2. Step 2: Convert to fraction form
    22,560.66/33,839.55 = 7,769.88/x
  3. Step 3: Cross multiply
    22,560.66x = 33,839.55 × 7,769.88
  4. Step 4: Simplify right side
    22,560.66x = 262,929,242.75
  5. Step 5: Solve for x
    x = 262,929,242.75/22,560.66
  6. Step 6: Final answer
    x = 11,654.32

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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.