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Finding the Fourth Proportional to 19,993.50, 29,990.97 and 7,512.21

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Solution

The fourth proportional to 19,993.50, 29,990.97 and 7,512.21 is: 11,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.50 : 29,990.97 = 7,512.21 : x
  2. Step 2: Convert to fraction form
    19,993.50/29,990.97 = 7,512.21/x
  3. Step 3: Cross multiply
    19,993.50x = 29,990.97 × 7,512.21
  4. Step 4: Simplify right side
    19,993.50x = 225,298,464.74
  5. Step 5: Solve for x
    x = 225,298,464.74/19,993.50
  6. Step 6: Final answer
    x = 11,268.59

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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.