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Finding the Fourth Proportional to 27,722.54, 41,559.16 and 10,188.27

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Solution

The fourth proportional to 27,722.54, 41,559.16 and 10,188.27 is: 15,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.54 : 41,559.16 = 10,188.27 : x
  2. Step 2: Convert to fraction form
    27,722.54/41,559.16 = 10,188.27/x
  3. Step 3: Cross multiply
    27,722.54x = 41,559.16 × 10,188.27
  4. Step 4: Simplify right side
    27,722.54x = 423,415,943.05
  5. Step 5: Solve for x
    x = 423,415,943.05/27,722.54
  6. Step 6: Final answer
    x = 15,273.35

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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.