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Finding the Fourth Proportional to 27,778.26, 38,334.80 and 15,203.82

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Solution

The fourth proportional to 27,778.26, 38,334.80 and 15,203.82 is: 20,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.26 : 38,334.80 = 15,203.82 : x
  2. Step 2: Convert to fraction form
    27,778.26/38,334.80 = 15,203.82/x
  3. Step 3: Cross multiply
    27,778.26x = 38,334.80 × 15,203.82
  4. Step 4: Simplify right side
    27,778.26x = 582,835,398.94
  5. Step 5: Solve for x
    x = 582,835,398.94/27,778.26
  6. Step 6: Final answer
    x = 20,981.71

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