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Finding the Fourth Proportional to 17,920.38, 24,736.92 and 11,949.87

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Solution

The fourth proportional to 17,920.38, 24,736.92 and 11,949.87 is: 16,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.38 : 24,736.92 = 11,949.87 : x
  2. Step 2: Convert to fraction form
    17,920.38/24,736.92 = 11,949.87/x
  3. Step 3: Cross multiply
    17,920.38x = 24,736.92 × 11,949.87
  4. Step 4: Simplify right side
    17,920.38x = 295,602,978.20
  5. Step 5: Solve for x
    x = 295,602,978.20/17,920.38
  6. Step 6: Final answer
    x = 16,495.35

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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.