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Finding the Fourth Proportional to 16,382.74, 22,608.97 and 9,214.90

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Solution

The fourth proportional to 16,382.74, 22,608.97 and 9,214.90 is: 12,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.74 : 22,608.97 = 9,214.90 : x
  2. Step 2: Convert to fraction form
    16,382.74/22,608.97 = 9,214.90/x
  3. Step 3: Cross multiply
    16,382.74x = 22,608.97 × 9,214.90
  4. Step 4: Simplify right side
    16,382.74x = 208,339,397.65
  5. Step 5: Solve for x
    x = 208,339,397.65/16,382.74
  6. Step 6: Final answer
    x = 12,717.01

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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.