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Finding the Fourth Proportional to 16,183.90, 22,333.26 and 9,013.82

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Solution

The fourth proportional to 16,183.90, 22,333.26 and 9,013.82 is: 12,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.90 : 22,333.26 = 9,013.82 : x
  2. Step 2: Convert to fraction form
    16,183.90/22,333.26 = 9,013.82/x
  3. Step 3: Cross multiply
    16,183.90x = 22,333.26 × 9,013.82
  4. Step 4: Simplify right side
    16,183.90x = 201,307,985.65
  5. Step 5: Solve for x
    x = 201,307,985.65/16,183.90
  6. Step 6: Final answer
    x = 12,438.78

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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.