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Finding the Fourth Proportional to 16,309.14, 22,506.61 and 9,235.56

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Solution

The fourth proportional to 16,309.14, 22,506.61 and 9,235.56 is: 12,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.14 : 22,506.61 = 9,235.56 : x
  2. Step 2: Convert to fraction form
    16,309.14/22,506.61 = 9,235.56/x
  3. Step 3: Cross multiply
    16,309.14x = 22,506.61 × 9,235.56
  4. Step 4: Simplify right side
    16,309.14x = 207,861,147.05
  5. Step 5: Solve for x
    x = 207,861,147.05/16,309.14
  6. Step 6: Final answer
    x = 12,745.07

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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.