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Finding the Fourth Proportional to 22,857.75, 31,531.01 and 13,296.56

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Solution

The fourth proportional to 22,857.75, 31,531.01 and 13,296.56 is: 18,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.75 : 31,531.01 = 13,296.56 : x
  2. Step 2: Convert to fraction form
    22,857.75/31,531.01 = 13,296.56/x
  3. Step 3: Cross multiply
    22,857.75x = 31,531.01 × 13,296.56
  4. Step 4: Simplify right side
    22,857.75x = 419,253,742.19
  5. Step 5: Solve for x
    x = 419,253,742.19/22,857.75
  6. Step 6: Final answer
    x = 18,341.86

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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.