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Finding the Fourth Proportional to 22,964.28, 31,691.13 and 12,893.67

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Solution

The fourth proportional to 22,964.28, 31,691.13 and 12,893.67 is: 17,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.28 : 31,691.13 = 12,893.67 : x
  2. Step 2: Convert to fraction form
    22,964.28/31,691.13 = 12,893.67/x
  3. Step 3: Cross multiply
    22,964.28x = 31,691.13 × 12,893.67
  4. Step 4: Simplify right side
    22,964.28x = 408,614,972.15
  5. Step 5: Solve for x
    x = 408,614,972.15/22,964.28
  6. Step 6: Final answer
    x = 17,793.50

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