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Finding the Fourth Proportional to 26,122.66, 36,049.27 and 14,186

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Solution

The fourth proportional to 26,122.66, 36,049.27 and 14,186 is: 19,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.66 : 36,049.27 = 14,186 : x
  2. Step 2: Convert to fraction form
    26,122.66/36,049.27 = 14,186/x
  3. Step 3: Cross multiply
    26,122.66x = 36,049.27 × 14,186
  4. Step 4: Simplify right side
    26,122.66x = 511,394,944.22
  5. Step 5: Solve for x
    x = 511,394,944.22/26,122.66
  6. Step 6: Final answer
    x = 19,576.68

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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.