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Finding the Fourth Proportional to 28,151.92, 38,856 and 16,217.38

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Solution

The fourth proportional to 28,151.92, 38,856 and 16,217.38 is: 22,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,151.92 : 38,856 = 16,217.38 : x
  2. Step 2: Convert to fraction form
    28,151.92/38,856 = 16,217.38/x
  3. Step 3: Cross multiply
    28,151.92x = 38,856 × 16,217.38
  4. Step 4: Simplify right side
    28,151.92x = 630,142,517.28
  5. Step 5: Solve for x
    x = 630,142,517.28/28,151.92
  6. Step 6: Final answer
    x = 22,383.64

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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.