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Finding the Fourth Proportional to 17,721.22, 26,563.59 and 7,865.14

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Solution

The fourth proportional to 17,721.22, 26,563.59 and 7,865.14 is: 11,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.22 : 26,563.59 = 7,865.14 : x
  2. Step 2: Convert to fraction form
    17,721.22/26,563.59 = 7,865.14/x
  3. Step 3: Cross multiply
    17,721.22x = 26,563.59 × 7,865.14
  4. Step 4: Simplify right side
    17,721.22x = 208,926,354.25
  5. Step 5: Solve for x
    x = 208,926,354.25/17,721.22
  6. Step 6: Final answer
    x = 11,789.61

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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.