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Finding the Fourth Proportional to 16,882.29, 23,290.54 and 10,164.56

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Solution

The fourth proportional to 16,882.29, 23,290.54 and 10,164.56 is: 14,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.29 : 23,290.54 = 10,164.56 : x
  2. Step 2: Convert to fraction form
    16,882.29/23,290.54 = 10,164.56/x
  3. Step 3: Cross multiply
    16,882.29x = 23,290.54 × 10,164.56
  4. Step 4: Simplify right side
    16,882.29x = 236,737,949.40
  5. Step 5: Solve for x
    x = 236,737,949.40/16,882.29
  6. Step 6: Final answer
    x = 14,022.86

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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.