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Finding the Fourth Proportional to 22,889.32, 31,589.92 and 13,942.06

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Solution

The fourth proportional to 22,889.32, 31,589.92 and 13,942.06 is: 19,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.32 : 31,589.92 = 13,942.06 : x
  2. Step 2: Convert to fraction form
    22,889.32/31,589.92 = 13,942.06/x
  3. Step 3: Cross multiply
    22,889.32x = 31,589.92 × 13,942.06
  4. Step 4: Simplify right side
    22,889.32x = 440,428,560.04
  5. Step 5: Solve for x
    x = 440,428,560.04/22,889.32
  6. Step 6: Final answer
    x = 19,241.66

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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.