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Finding the Fourth Proportional to 16,270.52, 22,450.68 and 9,195.98

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Solution

The fourth proportional to 16,270.52, 22,450.68 and 9,195.98 is: 12,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.52 : 22,450.68 = 9,195.98 : x
  2. Step 2: Convert to fraction form
    16,270.52/22,450.68 = 9,195.98/x
  3. Step 3: Cross multiply
    16,270.52x = 22,450.68 × 9,195.98
  4. Step 4: Simplify right side
    16,270.52x = 206,455,892.01
  5. Step 5: Solve for x
    x = 206,455,892.01/16,270.52
  6. Step 6: Final answer
    x = 12,688.96

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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.