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Finding the Fourth Proportional to 12,015.50, 18,018.23 and 5,774.04

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Solution

The fourth proportional to 12,015.50, 18,018.23 and 5,774.04 is: 8,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.50 : 18,018.23 = 5,774.04 : x
  2. Step 2: Convert to fraction form
    12,015.50/18,018.23 = 5,774.04/x
  3. Step 3: Cross multiply
    12,015.50x = 18,018.23 × 5,774.04
  4. Step 4: Simplify right side
    12,015.50x = 104,037,951.88
  5. Step 5: Solve for x
    x = 104,037,951.88/12,015.50
  6. Step 6: Final answer
    x = 8,658.65

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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.