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Finding the Fourth Proportional to 22,964.81, 31,691.20 and 12,893.02

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Solution

The fourth proportional to 22,964.81, 31,691.20 and 12,893.02 is: 17,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.81 : 31,691.20 = 12,893.02 : x
  2. Step 2: Convert to fraction form
    22,964.81/31,691.20 = 12,893.02/x
  3. Step 3: Cross multiply
    22,964.81x = 31,691.20 × 12,893.02
  4. Step 4: Simplify right side
    22,964.81x = 408,595,163.96
  5. Step 5: Solve for x
    x = 408,595,163.96/22,964.81
  6. Step 6: Final answer
    x = 17,792.23

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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.