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Finding the Fourth Proportional to 27,997.49, 38,636.52 and 15,422.24

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Solution

The fourth proportional to 27,997.49, 38,636.52 and 15,422.24 is: 21,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.49 : 38,636.52 = 15,422.24 : x
  2. Step 2: Convert to fraction form
    27,997.49/38,636.52 = 15,422.24/x
  3. Step 3: Cross multiply
    27,997.49x = 38,636.52 × 15,422.24
  4. Step 4: Simplify right side
    27,997.49x = 595,861,491.02
  5. Step 5: Solve for x
    x = 595,861,491.02/27,997.49
  6. Step 6: Final answer
    x = 21,282.68

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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.