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Finding the Fourth Proportional to 25,734.60, 38,601.90 and 7,266.60

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Solution

The fourth proportional to 25,734.60, 38,601.90 and 7,266.60 is: 10,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.60 : 38,601.90 = 7,266.60 : x
  2. Step 2: Convert to fraction form
    25,734.60/38,601.90 = 7,266.60/x
  3. Step 3: Cross multiply
    25,734.60x = 38,601.90 × 7,266.60
  4. Step 4: Simplify right side
    25,734.60x = 280,504,566.54
  5. Step 5: Solve for x
    x = 280,504,566.54/25,734.60
  6. Step 6: Final answer
    x = 10,899.90

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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.