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Finding the Fourth Proportional to 16,738.52, 23,097.49 and 9,667.22

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Solution

The fourth proportional to 16,738.52, 23,097.49 and 9,667.22 is: 13,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.52 : 23,097.49 = 9,667.22 : x
  2. Step 2: Convert to fraction form
    16,738.52/23,097.49 = 9,667.22/x
  3. Step 3: Cross multiply
    16,738.52x = 23,097.49 × 9,667.22
  4. Step 4: Simplify right side
    16,738.52x = 223,288,377.62
  5. Step 5: Solve for x
    x = 223,288,377.62/16,738.52
  6. Step 6: Final answer
    x = 13,339.80

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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.