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Finding the Fourth Proportional to 16,144, 22,279.68 and 10,757.12

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Solution

The fourth proportional to 16,144, 22,279.68 and 10,757.12 is: 14,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144 : 22,279.68 = 10,757.12 : x
  2. Step 2: Convert to fraction form
    16,144/22,279.68 = 10,757.12/x
  3. Step 3: Cross multiply
    16,144x = 22,279.68 × 10,757.12
  4. Step 4: Simplify right side
    16,144x = 239,665,191.32
  5. Step 5: Solve for x
    x = 239,665,191.32/16,144
  6. Step 6: Final answer
    x = 14,845.47

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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.