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Finding the Fourth Proportional to 22,647.30, 31,253.57 and 12,576.38

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Solution

The fourth proportional to 22,647.30, 31,253.57 and 12,576.38 is: 17,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.30 : 31,253.57 = 12,576.38 : x
  2. Step 2: Convert to fraction form
    22,647.30/31,253.57 = 12,576.38/x
  3. Step 3: Cross multiply
    22,647.30x = 31,253.57 × 12,576.38
  4. Step 4: Simplify right side
    22,647.30x = 393,056,553.53
  5. Step 5: Solve for x
    x = 393,056,553.53/22,647.30
  6. Step 6: Final answer
    x = 17,355.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.