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Finding the Fourth Proportional to 20,218.66, 27,900.91 and 11,266

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Solution

The fourth proportional to 20,218.66, 27,900.91 and 11,266 is: 15,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.66 : 27,900.91 = 11,266 : x
  2. Step 2: Convert to fraction form
    20,218.66/27,900.91 = 11,266/x
  3. Step 3: Cross multiply
    20,218.66x = 27,900.91 × 11,266
  4. Step 4: Simplify right side
    20,218.66x = 314,331,652.06
  5. Step 5: Solve for x
    x = 314,331,652.06/20,218.66
  6. Step 6: Final answer
    x = 15,546.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.