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Finding the Fourth Proportional to 22,814.71, 31,481.19 and 12,741.87

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Solution

The fourth proportional to 22,814.71, 31,481.19 and 12,741.87 is: 17,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.71 : 31,481.19 = 12,741.87 : x
  2. Step 2: Convert to fraction form
    22,814.71/31,481.19 = 12,741.87/x
  3. Step 3: Cross multiply
    22,814.71x = 31,481.19 × 12,741.87
  4. Step 4: Simplify right side
    22,814.71x = 401,129,230.43
  5. Step 5: Solve for x
    x = 401,129,230.43/22,814.71
  6. Step 6: Final answer
    x = 17,582.04

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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.