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Finding the Fourth Proportional to 22,596.46, 31,183.07 and 13,642.20

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Solution

The fourth proportional to 22,596.46, 31,183.07 and 13,642.20 is: 18,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.46 : 31,183.07 = 13,642.20 : x
  2. Step 2: Convert to fraction form
    22,596.46/31,183.07 = 13,642.20/x
  3. Step 3: Cross multiply
    22,596.46x = 31,183.07 × 13,642.20
  4. Step 4: Simplify right side
    22,596.46x = 425,405,609.34
  5. Step 5: Solve for x
    x = 425,405,609.34/22,596.46
  6. Step 6: Final answer
    x = 18,826.21

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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.