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Finding the Fourth Proportional to 22,631.68, 33,935.10 and 7,839.28

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Solution

The fourth proportional to 22,631.68, 33,935.10 and 7,839.28 is: 11,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.68 : 33,935.10 = 7,839.28 : x
  2. Step 2: Convert to fraction form
    22,631.68/33,935.10 = 7,839.28/x
  3. Step 3: Cross multiply
    22,631.68x = 33,935.10 × 7,839.28
  4. Step 4: Simplify right side
    22,631.68x = 266,026,750.73
  5. Step 5: Solve for x
    x = 266,026,750.73/22,631.68
  6. Step 6: Final answer
    x = 11,754.62

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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.