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Finding the Fourth Proportional to 27,724.55, 41,582.37 and 7,734.56

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Solution

The fourth proportional to 27,724.55, 41,582.37 and 7,734.56 is: 11,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.55 : 41,582.37 = 7,734.56 : x
  2. Step 2: Convert to fraction form
    27,724.55/41,582.37 = 7,734.56/x
  3. Step 3: Cross multiply
    27,724.55x = 41,582.37 × 7,734.56
  4. Step 4: Simplify right side
    27,724.55x = 321,621,439.66
  5. Step 5: Solve for x
    x = 321,621,439.66/27,724.55
  6. Step 6: Final answer
    x = 11,600.60

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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.