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Finding the Fourth Proportional to 25,922.18, 38,889.43 and 8,392

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Solution

The fourth proportional to 25,922.18, 38,889.43 and 8,392 is: 12,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.18 : 38,889.43 = 8,392 : x
  2. Step 2: Convert to fraction form
    25,922.18/38,889.43 = 8,392/x
  3. Step 3: Cross multiply
    25,922.18x = 38,889.43 × 8,392
  4. Step 4: Simplify right side
    25,922.18x = 326,360,096.56
  5. Step 5: Solve for x
    x = 326,360,096.56/25,922.18
  6. Step 6: Final answer
    x = 12,589.99

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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.