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Finding the Fourth Proportional to 22,967.16, 31,694.70 and 12,896.58

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Solution

The fourth proportional to 22,967.16, 31,694.70 and 12,896.58 is: 17,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.16 : 31,694.70 = 12,896.58 : x
  2. Step 2: Convert to fraction form
    22,967.16/31,694.70 = 12,896.58/x
  3. Step 3: Cross multiply
    22,967.16x = 31,694.70 × 12,896.58
  4. Step 4: Simplify right side
    22,967.16x = 408,753,234.13
  5. Step 5: Solve for x
    x = 408,753,234.13/22,967.16
  6. Step 6: Final answer
    x = 17,797.29

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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.