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Finding the Fourth Proportional to 16,182.91, 22,329.43 and 9,107.83

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Solution

The fourth proportional to 16,182.91, 22,329.43 and 9,107.83 is: 12,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.91 : 22,329.43 = 9,107.83 : x
  2. Step 2: Convert to fraction form
    16,182.91/22,329.43 = 9,107.83/x
  3. Step 3: Cross multiply
    16,182.91x = 22,329.43 × 9,107.83
  4. Step 4: Simplify right side
    16,182.91x = 203,372,652.44
  5. Step 5: Solve for x
    x = 203,372,652.44/16,182.91
  6. Step 6: Final answer
    x = 12,567.12

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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.