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Finding the Fourth Proportional to 25,594.37, 38,392.16 and 6,874.43

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Solution

The fourth proportional to 25,594.37, 38,392.16 and 6,874.43 is: 10,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.37 : 38,392.16 = 6,874.43 : x
  2. Step 2: Convert to fraction form
    25,594.37/38,392.16 = 6,874.43/x
  3. Step 3: Cross multiply
    25,594.37x = 38,392.16 × 6,874.43
  4. Step 4: Simplify right side
    25,594.37x = 263,923,990.14
  5. Step 5: Solve for x
    x = 263,923,990.14/25,594.37
  6. Step 6: Final answer
    x = 10,311.80

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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.