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Finding the Fourth Proportional to 22,846.38, 34,274.97 and 7,263.96

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Solution

The fourth proportional to 22,846.38, 34,274.97 and 7,263.96 is: 10,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.38 : 34,274.97 = 7,263.96 : x
  2. Step 2: Convert to fraction form
    22,846.38/34,274.97 = 7,263.96/x
  3. Step 3: Cross multiply
    22,846.38x = 34,274.97 × 7,263.96
  4. Step 4: Simplify right side
    22,846.38x = 248,972,011.08
  5. Step 5: Solve for x
    x = 248,972,011.08/22,846.38
  6. Step 6: Final answer
    x = 10,897.66

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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.