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Finding the Fourth Proportional to 27,813.86, 41,722.62 and 11,171.74

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Solution

The fourth proportional to 27,813.86, 41,722.62 and 11,171.74 is: 16,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.86 : 41,722.62 = 11,171.74 : x
  2. Step 2: Convert to fraction form
    27,813.86/41,722.62 = 11,171.74/x
  3. Step 3: Cross multiply
    27,813.86x = 41,722.62 × 11,171.74
  4. Step 4: Simplify right side
    27,813.86x = 466,114,262.76
  5. Step 5: Solve for x
    x = 466,114,262.76/27,813.86
  6. Step 6: Final answer
    x = 16,758.35

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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.