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Finding the Fourth Proportional to 20,072.43, 27,702 and 11,574.87

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Solution

The fourth proportional to 20,072.43, 27,702 and 11,574.87 is: 15,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.43 : 27,702 = 11,574.87 : x
  2. Step 2: Convert to fraction form
    20,072.43/27,702 = 11,574.87/x
  3. Step 3: Cross multiply
    20,072.43x = 27,702 × 11,574.87
  4. Step 4: Simplify right side
    20,072.43x = 320,647,048.74
  5. Step 5: Solve for x
    x = 320,647,048.74/20,072.43
  6. Step 6: Final answer
    x = 15,974.50

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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.