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Finding the Fourth Proportional to 27,419.85, 37,845.81 and 17,843.22

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Solution

The fourth proportional to 27,419.85, 37,845.81 and 17,843.22 is: 24,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.85 : 37,845.81 = 17,843.22 : x
  2. Step 2: Convert to fraction form
    27,419.85/37,845.81 = 17,843.22/x
  3. Step 3: Cross multiply
    27,419.85x = 37,845.81 × 17,843.22
  4. Step 4: Simplify right side
    27,419.85x = 675,291,113.91
  5. Step 5: Solve for x
    x = 675,291,113.91/27,419.85
  6. Step 6: Final answer
    x = 24,627.82

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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.