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Finding the Fourth Proportional to 17,661.38, 24,358.60 and 11,617.82

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Solution

The fourth proportional to 17,661.38, 24,358.60 and 11,617.82 is: 16,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.38 : 24,358.60 = 11,617.82 : x
  2. Step 2: Convert to fraction form
    17,661.38/24,358.60 = 11,617.82/x
  3. Step 3: Cross multiply
    17,661.38x = 24,358.60 × 11,617.82
  4. Step 4: Simplify right side
    17,661.38x = 282,993,830.25
  5. Step 5: Solve for x
    x = 282,993,830.25/17,661.38
  6. Step 6: Final answer
    x = 16,023.32

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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.