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Finding the Fourth Proportional to 22,721.72, 34,086.90 and 7,143.80

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Solution

The fourth proportional to 22,721.72, 34,086.90 and 7,143.80 is: 10,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721.72 : 34,086.90 = 7,143.80 : x
  2. Step 2: Convert to fraction form
    22,721.72/34,086.90 = 7,143.80/x
  3. Step 3: Cross multiply
    22,721.72x = 34,086.90 × 7,143.80
  4. Step 4: Simplify right side
    22,721.72x = 243,509,996.22
  5. Step 5: Solve for x
    x = 243,509,996.22/22,721.72
  6. Step 6: Final answer
    x = 10,717.06

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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.