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Finding the Fourth Proportional to 22,807.84, 34,216.08 and 7,227.76

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Solution

The fourth proportional to 22,807.84, 34,216.08 and 7,227.76 is: 10,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.84 : 34,216.08 = 7,227.76 : x
  2. Step 2: Convert to fraction form
    22,807.84/34,216.08 = 7,227.76/x
  3. Step 3: Cross multiply
    22,807.84x = 34,216.08 × 7,227.76
  4. Step 4: Simplify right side
    22,807.84x = 247,305,614.38
  5. Step 5: Solve for x
    x = 247,305,614.38/22,807.84
  6. Step 6: Final answer
    x = 10,843.01

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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.