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Finding the Fourth Proportional to 19,993.50, 27,593.46 and 11,610

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Solution

The fourth proportional to 19,993.50, 27,593.46 and 11,610 is: 16,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.50 : 27,593.46 = 11,610 : x
  2. Step 2: Convert to fraction form
    19,993.50/27,593.46 = 11,610/x
  3. Step 3: Cross multiply
    19,993.50x = 27,593.46 × 11,610
  4. Step 4: Simplify right side
    19,993.50x = 320,360,070.60
  5. Step 5: Solve for x
    x = 320,360,070.60/19,993.50
  6. Step 6: Final answer
    x = 16,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.