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Finding the Fourth Proportional to 16,288.38, 22,477.97 and 9,214.65

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Solution

The fourth proportional to 16,288.38, 22,477.97 and 9,214.65 is: 12,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.38 : 22,477.97 = 9,214.65 : x
  2. Step 2: Convert to fraction form
    16,288.38/22,477.97 = 9,214.65/x
  3. Step 3: Cross multiply
    16,288.38x = 22,477.97 × 9,214.65
  4. Step 4: Simplify right side
    16,288.38x = 207,126,626.26
  5. Step 5: Solve for x
    x = 207,126,626.26/16,288.38
  6. Step 6: Final answer
    x = 12,716.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.