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Finding the Fourth Proportional to 27,922, 41,889.18 and 9,201.28

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Solution

The fourth proportional to 27,922, 41,889.18 and 9,201.28 is: 13,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922 : 41,889.18 = 9,201.28 : x
  2. Step 2: Convert to fraction form
    27,922/41,889.18 = 9,201.28/x
  3. Step 3: Cross multiply
    27,922x = 41,889.18 × 9,201.28
  4. Step 4: Simplify right side
    27,922x = 385,434,074.15
  5. Step 5: Solve for x
    x = 385,434,074.15/27,922
  6. Step 6: Final answer
    x = 13,803.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.