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Finding the Fourth Proportional to 27,628.62, 41,443.23 and 22,117

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Solution

The fourth proportional to 27,628.62, 41,443.23 and 22,117 is: 33,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.62 : 41,443.23 = 22,117 : x
  2. Step 2: Convert to fraction form
    27,628.62/41,443.23 = 22,117/x
  3. Step 3: Cross multiply
    27,628.62x = 41,443.23 × 22,117
  4. Step 4: Simplify right side
    27,628.62x = 916,599,917.91
  5. Step 5: Solve for x
    x = 916,599,917.91/27,628.62
  6. Step 6: Final answer
    x = 33,175.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.