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Finding the Fourth Proportional to 22,754.29, 31,400.85 and 12,682.62

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Solution

The fourth proportional to 22,754.29, 31,400.85 and 12,682.62 is: 17,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.29 : 31,400.85 = 12,682.62 : x
  2. Step 2: Convert to fraction form
    22,754.29/31,400.85 = 12,682.62/x
  3. Step 3: Cross multiply
    22,754.29x = 31,400.85 × 12,682.62
  4. Step 4: Simplify right side
    22,754.29x = 398,244,891.22
  5. Step 5: Solve for x
    x = 398,244,891.22/22,754.29
  6. Step 6: Final answer
    x = 17,501.97

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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.