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Finding the Fourth Proportional to 27,785.80, 41,682.33 and 9,059.26

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Solution

The fourth proportional to 27,785.80, 41,682.33 and 9,059.26 is: 13,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.80 : 41,682.33 = 9,059.26 : x
  2. Step 2: Convert to fraction form
    27,785.80/41,682.33 = 9,059.26/x
  3. Step 3: Cross multiply
    27,785.80x = 41,682.33 × 9,059.26
  4. Step 4: Simplify right side
    27,785.80x = 377,611,064.88
  5. Step 5: Solve for x
    x = 377,611,064.88/27,785.80
  6. Step 6: Final answer
    x = 13,590.07

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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.