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Finding the Fourth Proportional to 12,005.52, 17,997.37 and 4,210.08

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Solution

The fourth proportional to 12,005.52, 17,997.37 and 4,210.08 is: 6,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.52 : 17,997.37 = 4,210.08 : x
  2. Step 2: Convert to fraction form
    12,005.52/17,997.37 = 4,210.08/x
  3. Step 3: Cross multiply
    12,005.52x = 17,997.37 × 4,210.08
  4. Step 4: Simplify right side
    12,005.52x = 75,770,367.49
  5. Step 5: Solve for x
    x = 75,770,367.49/12,005.52
  6. Step 6: Final answer
    x = 6,311.29

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