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Finding the Fourth Proportional to 27,196.67, 40,766.93 and 11,410.86

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Solution

The fourth proportional to 27,196.67, 40,766.93 and 11,410.86 is: 17,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.67 : 40,766.93 = 11,410.86 : x
  2. Step 2: Convert to fraction form
    27,196.67/40,766.93 = 11,410.86/x
  3. Step 3: Cross multiply
    27,196.67x = 40,766.93 × 11,410.86
  4. Step 4: Simplify right side
    27,196.67x = 465,185,730.86
  5. Step 5: Solve for x
    x = 465,185,730.86/27,196.67
  6. Step 6: Final answer
    x = 17,104.51

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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.