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Finding the Fourth Proportional to 18,575.20, 27,880.44 and 11,533.87

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Solution

The fourth proportional to 18,575.20, 27,880.44 and 11,533.87 is: 17,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,575.20 : 27,880.44 = 11,533.87 : x
  2. Step 2: Convert to fraction form
    18,575.20/27,880.44 = 11,533.87/x
  3. Step 3: Cross multiply
    18,575.20x = 27,880.44 × 11,533.87
  4. Step 4: Simplify right side
    18,575.20x = 321,569,370.50
  5. Step 5: Solve for x
    x = 321,569,370.50/18,575.20
  6. Step 6: Final answer
    x = 17,311.76

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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.