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Finding the Fourth Proportional to 27,462.60, 41,192.94 and 11,657.48

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Solution

The fourth proportional to 27,462.60, 41,192.94 and 11,657.48 is: 17,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.60 : 41,192.94 = 11,657.48 : x
  2. Step 2: Convert to fraction form
    27,462.60/41,192.94 = 11,657.48/x
  3. Step 3: Cross multiply
    27,462.60x = 41,192.94 × 11,657.48
  4. Step 4: Simplify right side
    27,462.60x = 480,205,874.19
  5. Step 5: Solve for x
    x = 480,205,874.19/27,462.60
  6. Step 6: Final answer
    x = 17,485.81

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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.