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Finding the Fourth Proportional to 20,072.81, 27,700.48 and 11,689.31

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Solution

The fourth proportional to 20,072.81, 27,700.48 and 11,689.31 is: 16,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.81 : 27,700.48 = 11,689.31 : x
  2. Step 2: Convert to fraction form
    20,072.81/27,700.48 = 11,689.31/x
  3. Step 3: Cross multiply
    20,072.81x = 27,700.48 × 11,689.31
  4. Step 4: Simplify right side
    20,072.81x = 323,799,581.73
  5. Step 5: Solve for x
    x = 323,799,581.73/20,072.81
  6. Step 6: Final answer
    x = 16,131.25

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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.