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Finding the Fourth Proportional to 27,775.51, 38,330.22 and 15,200.26

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Solution

The fourth proportional to 27,775.51, 38,330.22 and 15,200.26 is: 20,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.51 : 38,330.22 = 15,200.26 : x
  2. Step 2: Convert to fraction form
    27,775.51/38,330.22 = 15,200.26/x
  3. Step 3: Cross multiply
    27,775.51x = 38,330.22 × 15,200.26
  4. Step 4: Simplify right side
    27,775.51x = 582,629,309.86
  5. Step 5: Solve for x
    x = 582,629,309.86/27,775.51
  6. Step 6: Final answer
    x = 20,976.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.