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Finding the Fourth Proportional to 18,415.40, 27,606.90 and 11,022.80

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Solution

The fourth proportional to 18,415.40, 27,606.90 and 11,022.80 is: 16,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.40 : 27,606.90 = 11,022.80 : x
  2. Step 2: Convert to fraction form
    18,415.40/27,606.90 = 11,022.80/x
  3. Step 3: Cross multiply
    18,415.40x = 27,606.90 × 11,022.80
  4. Step 4: Simplify right side
    18,415.40x = 304,305,337.32
  5. Step 5: Solve for x
    x = 304,305,337.32/18,415.40
  6. Step 6: Final answer
    x = 16,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.