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Finding the Fourth Proportional to 27,772.39, 38,325.69 and 15,197.14

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Solution

The fourth proportional to 27,772.39, 38,325.69 and 15,197.14 is: 20,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.39 : 38,325.69 = 15,197.14 : x
  2. Step 2: Convert to fraction form
    27,772.39/38,325.69 = 15,197.14/x
  3. Step 3: Cross multiply
    27,772.39x = 38,325.69 × 15,197.14
  4. Step 4: Simplify right side
    27,772.39x = 582,440,876.53
  5. Step 5: Solve for x
    x = 582,440,876.53/27,772.39
  6. Step 6: Final answer
    x = 20,971.94

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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.