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Finding the Fourth Proportional to 22,837.96, 31,502.82 and 16,885

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Solution

The fourth proportional to 22,837.96, 31,502.82 and 16,885 is: 23,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.96 : 31,502.82 = 16,885 : x
  2. Step 2: Convert to fraction form
    22,837.96/31,502.82 = 16,885/x
  3. Step 3: Cross multiply
    22,837.96x = 31,502.82 × 16,885
  4. Step 4: Simplify right side
    22,837.96x = 531,925,115.70
  5. Step 5: Solve for x
    x = 531,925,115.70/22,837.96
  6. Step 6: Final answer
    x = 23,291.27

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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.