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Finding the Fourth Proportional to 22,589.82, 31,175.01 and 14,096.97

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Solution

The fourth proportional to 22,589.82, 31,175.01 and 14,096.97 is: 19,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.82 : 31,175.01 = 14,096.97 : x
  2. Step 2: Convert to fraction form
    22,589.82/31,175.01 = 14,096.97/x
  3. Step 3: Cross multiply
    22,589.82x = 31,175.01 × 14,096.97
  4. Step 4: Simplify right side
    22,589.82x = 439,473,180.72
  5. Step 5: Solve for x
    x = 439,473,180.72/22,589.82
  6. Step 6: Final answer
    x = 19,454.48

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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.