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Finding the Fourth Proportional to 27,772, 38,325.36 and 15,196.75

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Solution

The fourth proportional to 27,772, 38,325.36 and 15,196.75 is: 20,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 38,325.36 = 15,196.75 : x
  2. Step 2: Convert to fraction form
    27,772/38,325.36 = 15,196.75/x
  3. Step 3: Cross multiply
    27,772x = 38,325.36 × 15,196.75
  4. Step 4: Simplify right side
    27,772x = 582,420,914.58
  5. Step 5: Solve for x
    x = 582,420,914.58/27,772
  6. Step 6: Final answer
    x = 20,971.52

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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.