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Finding the Fourth Proportional to 16,195.50, 22,350.07 and 9,122.17

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Solution

The fourth proportional to 16,195.50, 22,350.07 and 9,122.17 is: 12,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.50 : 22,350.07 = 9,122.17 : x
  2. Step 2: Convert to fraction form
    16,195.50/22,350.07 = 9,122.17/x
  3. Step 3: Cross multiply
    16,195.50x = 22,350.07 × 9,122.17
  4. Step 4: Simplify right side
    16,195.50x = 203,881,138.05
  5. Step 5: Solve for x
    x = 203,881,138.05/16,195.50
  6. Step 6: Final answer
    x = 12,588.76

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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.