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Finding the Fourth Proportional to 22,633.84, 31,234.22 and 12,561.69

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Solution

The fourth proportional to 22,633.84, 31,234.22 and 12,561.69 is: 17,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.84 : 31,234.22 = 12,561.69 : x
  2. Step 2: Convert to fraction form
    22,633.84/31,234.22 = 12,561.69/x
  3. Step 3: Cross multiply
    22,633.84x = 31,234.22 × 12,561.69
  4. Step 4: Simplify right side
    22,633.84x = 392,354,589.03
  5. Step 5: Solve for x
    x = 392,354,589.03/22,633.84
  6. Step 6: Final answer
    x = 17,334.87

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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.