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Finding the Fourth Proportional to 16,143.88, 22,269.46 and 10,165.28

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Solution

The fourth proportional to 16,143.88, 22,269.46 and 10,165.28 is: 14,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.88 : 22,269.46 = 10,165.28 : x
  2. Step 2: Convert to fraction form
    16,143.88/22,269.46 = 10,165.28/x
  3. Step 3: Cross multiply
    16,143.88x = 22,269.46 × 10,165.28
  4. Step 4: Simplify right side
    16,143.88x = 226,375,296.35
  5. Step 5: Solve for x
    x = 226,375,296.35/16,143.88
  6. Step 6: Final answer
    x = 14,022.36

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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.