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Finding the Fourth Proportional to 16,086.84, 22,200.44 and 9,013

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Solution

The fourth proportional to 16,086.84, 22,200.44 and 9,013 is: 12,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.84 : 22,200.44 = 9,013 : x
  2. Step 2: Convert to fraction form
    16,086.84/22,200.44 = 9,013/x
  3. Step 3: Cross multiply
    16,086.84x = 22,200.44 × 9,013
  4. Step 4: Simplify right side
    16,086.84x = 200,092,565.72
  5. Step 5: Solve for x
    x = 200,092,565.72/16,086.84
  6. Step 6: Final answer
    x = 12,438.28

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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.