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Finding the Fourth Proportional to 25,693.92, 38,468 and 16,819.60

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Solution

The fourth proportional to 25,693.92, 38,468 and 16,819.60 is: 25,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.92 : 38,468 = 16,819.60 : x
  2. Step 2: Convert to fraction form
    25,693.92/38,468 = 16,819.60/x
  3. Step 3: Cross multiply
    25,693.92x = 38,468 × 16,819.60
  4. Step 4: Simplify right side
    25,693.92x = 647,016,372.80
  5. Step 5: Solve for x
    x = 647,016,372.80/25,693.92
  6. Step 6: Final answer
    x = 25,181.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.