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Finding the Fourth Proportional to 25,861.98, 38,785.89 and 7,137.54

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Solution

The fourth proportional to 25,861.98, 38,785.89 and 7,137.54 is: 10,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.98 : 38,785.89 = 7,137.54 : x
  2. Step 2: Convert to fraction form
    25,861.98/38,785.89 = 7,137.54/x
  3. Step 3: Cross multiply
    25,861.98x = 38,785.89 × 7,137.54
  4. Step 4: Simplify right side
    25,861.98x = 276,835,841.31
  5. Step 5: Solve for x
    x = 276,835,841.31/25,861.98
  6. Step 6: Final answer
    x = 10,704.36

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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.