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Finding the Fourth Proportional to 20,201.26, 27,881.76 and 11,704.78

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Solution

The fourth proportional to 20,201.26, 27,881.76 and 11,704.78 is: 16,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.26 : 27,881.76 = 11,704.78 : x
  2. Step 2: Convert to fraction form
    20,201.26/27,881.76 = 11,704.78/x
  3. Step 3: Cross multiply
    20,201.26x = 27,881.76 × 11,704.78
  4. Step 4: Simplify right side
    20,201.26x = 326,349,866.81
  5. Step 5: Solve for x
    x = 326,349,866.81/20,201.26
  6. Step 6: Final answer
    x = 16,154.93

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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.