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Finding the Fourth Proportional to 25,589.56, 38,381.64 and 6,871.54

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Solution

The fourth proportional to 25,589.56, 38,381.64 and 6,871.54 is: 10,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.56 : 38,381.64 = 6,871.54 : x
  2. Step 2: Convert to fraction form
    25,589.56/38,381.64 = 6,871.54/x
  3. Step 3: Cross multiply
    25,589.56x = 38,381.64 × 6,871.54
  4. Step 4: Simplify right side
    25,589.56x = 263,740,974.53
  5. Step 5: Solve for x
    x = 263,740,974.53/25,589.56
  6. Step 6: Final answer
    x = 10,306.58

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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.