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Finding the Fourth Proportional to 20,282, 27,989.16 and 11,450

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Solution

The fourth proportional to 20,282, 27,989.16 and 11,450 is: 15,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282 : 27,989.16 = 11,450 : x
  2. Step 2: Convert to fraction form
    20,282/27,989.16 = 11,450/x
  3. Step 3: Cross multiply
    20,282x = 27,989.16 × 11,450
  4. Step 4: Simplify right side
    20,282x = 320,475,882
  5. Step 5: Solve for x
    x = 320,475,882/20,282
  6. Step 6: Final answer
    x = 15,801

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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.