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Finding the Fourth Proportional to 16,149.75, 22,292.89 and 10,770.24

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Solution

The fourth proportional to 16,149.75, 22,292.89 and 10,770.24 is: 14,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.75 : 22,292.89 = 10,770.24 : x
  2. Step 2: Convert to fraction form
    16,149.75/22,292.89 = 10,770.24/x
  3. Step 3: Cross multiply
    16,149.75x = 22,292.89 × 10,770.24
  4. Step 4: Simplify right side
    16,149.75x = 240,099,775.59
  5. Step 5: Solve for x
    x = 240,099,775.59/16,149.75
  6. Step 6: Final answer
    x = 14,867.09

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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.