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Finding the Fourth Proportional to 27,509.22, 41,265.59 and 7,789.23

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Solution

The fourth proportional to 27,509.22, 41,265.59 and 7,789.23 is: 11,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.22 : 41,265.59 = 7,789.23 : x
  2. Step 2: Convert to fraction form
    27,509.22/41,265.59 = 7,789.23/x
  3. Step 3: Cross multiply
    27,509.22x = 41,265.59 × 7,789.23
  4. Step 4: Simplify right side
    27,509.22x = 321,427,132.65
  5. Step 5: Solve for x
    x = 321,427,132.65/27,509.22
  6. Step 6: Final answer
    x = 11,684.34

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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.