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Finding the Fourth Proportional to 27,813.58, 41,722.92 and 9,093.71

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Solution

The fourth proportional to 27,813.58, 41,722.92 and 9,093.71 is: 13,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.58 : 41,722.92 = 9,093.71 : x
  2. Step 2: Convert to fraction form
    27,813.58/41,722.92 = 9,093.71/x
  3. Step 3: Cross multiply
    27,813.58x = 41,722.92 × 9,093.71
  4. Step 4: Simplify right side
    27,813.58x = 379,416,239.14
  5. Step 5: Solve for x
    x = 379,416,239.14/27,813.58
  6. Step 6: Final answer
    x = 13,641.40

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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.