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Finding the Fourth Proportional to 25,494.53, 38,243.48 and 6,774.30

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Solution

The fourth proportional to 25,494.53, 38,243.48 and 6,774.30 is: 10,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.53 : 38,243.48 = 6,774.30 : x
  2. Step 2: Convert to fraction form
    25,494.53/38,243.48 = 6,774.30/x
  3. Step 3: Cross multiply
    25,494.53x = 38,243.48 × 6,774.30
  4. Step 4: Simplify right side
    25,494.53x = 259,072,806.56
  5. Step 5: Solve for x
    x = 259,072,806.56/25,494.53
  6. Step 6: Final answer
    x = 10,161.90

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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.