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Finding the Fourth Proportional to 20,292.52, 30,410.16 and 11,974.36

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Solution

The fourth proportional to 20,292.52, 30,410.16 and 11,974.36 is: 17,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292.52 : 30,410.16 = 11,974.36 : x
  2. Step 2: Convert to fraction form
    20,292.52/30,410.16 = 11,974.36/x
  3. Step 3: Cross multiply
    20,292.52x = 30,410.16 × 11,974.36
  4. Step 4: Simplify right side
    20,292.52x = 364,142,203.50
  5. Step 5: Solve for x
    x = 364,142,203.50/20,292.52
  6. Step 6: Final answer
    x = 17,944.65

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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.