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Finding the Fourth Proportional to 27,346.80, 37,761 and 17,291.52

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Solution

The fourth proportional to 27,346.80, 37,761 and 17,291.52 is: 23,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.80 : 37,761 = 17,291.52 : x
  2. Step 2: Convert to fraction form
    27,346.80/37,761 = 17,291.52/x
  3. Step 3: Cross multiply
    27,346.80x = 37,761 × 17,291.52
  4. Step 4: Simplify right side
    27,346.80x = 652,945,086.72
  5. Step 5: Solve for x
    x = 652,945,086.72/27,346.80
  6. Step 6: Final answer
    x = 23,876.47

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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.