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Finding the Fourth Proportional to 27,077.28, 37,384 and 17,019.52

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Solution

The fourth proportional to 27,077.28, 37,384 and 17,019.52 is: 23,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.28 : 37,384 = 17,019.52 : x
  2. Step 2: Convert to fraction form
    27,077.28/37,384 = 17,019.52/x
  3. Step 3: Cross multiply
    27,077.28x = 37,384 × 17,019.52
  4. Step 4: Simplify right side
    27,077.28x = 636,257,735.68
  5. Step 5: Solve for x
    x = 636,257,735.68/27,077.28
  6. Step 6: Final answer
    x = 23,497.85

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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.