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Finding the Fourth Proportional to 27,932.54, 41,889.81 and 9,208.22

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Solution

The fourth proportional to 27,932.54, 41,889.81 and 9,208.22 is: 13,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,932.54 : 41,889.81 = 9,208.22 : x
  2. Step 2: Convert to fraction form
    27,932.54/41,889.81 = 9,208.22/x
  3. Step 3: Cross multiply
    27,932.54x = 41,889.81 × 9,208.22
  4. Step 4: Simplify right side
    27,932.54x = 385,730,586.24
  5. Step 5: Solve for x
    x = 385,730,586.24/27,932.54
  6. Step 6: Final answer
    x = 13,809.36

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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.