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Finding the Fourth Proportional to 22,983.41, 34,474.43 and 6,344.46

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Solution

The fourth proportional to 22,983.41, 34,474.43 and 6,344.46 is: 9,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.41 : 34,474.43 = 6,344.46 : x
  2. Step 2: Convert to fraction form
    22,983.41/34,474.43 = 6,344.46/x
  3. Step 3: Cross multiply
    22,983.41x = 34,474.43 × 6,344.46
  4. Step 4: Simplify right side
    22,983.41x = 218,721,658.02
  5. Step 5: Solve for x
    x = 218,721,658.02/22,983.41
  6. Step 6: Final answer
    x = 9,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.