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Finding the Fourth Proportional to 27,852.86, 41,768.88 and 11,207.27

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Solution

The fourth proportional to 27,852.86, 41,768.88 and 11,207.27 is: 16,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.86 : 41,768.88 = 11,207.27 : x
  2. Step 2: Convert to fraction form
    27,852.86/41,768.88 = 11,207.27/x
  3. Step 3: Cross multiply
    27,852.86x = 41,768.88 × 11,207.27
  4. Step 4: Simplify right side
    27,852.86x = 468,115,115.76
  5. Step 5: Solve for x
    x = 468,115,115.76/27,852.86
  6. Step 6: Final answer
    x = 16,806.72

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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.