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Finding the Fourth Proportional to 27,772.25, 38,325.71 and 15,197

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Solution

The fourth proportional to 27,772.25, 38,325.71 and 15,197 is: 20,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.25 : 38,325.71 = 15,197 : x
  2. Step 2: Convert to fraction form
    27,772.25/38,325.71 = 15,197/x
  3. Step 3: Cross multiply
    27,772.25x = 38,325.71 × 15,197
  4. Step 4: Simplify right side
    27,772.25x = 582,435,738.89
  5. Step 5: Solve for x
    x = 582,435,738.89/27,772.25
  6. Step 6: Final answer
    x = 20,971.86

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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.