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Finding the Fourth Proportional to 25,924.92, 38,894.94 and 8,394.36

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Solution

The fourth proportional to 25,924.92, 38,894.94 and 8,394.36 is: 12,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924.92 : 38,894.94 = 8,394.36 : x
  2. Step 2: Convert to fraction form
    25,924.92/38,894.94 = 8,394.36/x
  3. Step 3: Cross multiply
    25,924.92x = 38,894.94 × 8,394.36
  4. Step 4: Simplify right side
    25,924.92x = 326,498,128.54
  5. Step 5: Solve for x
    x = 326,498,128.54/25,924.92
  6. Step 6: Final answer
    x = 12,593.99

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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.