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Finding the Fourth Proportional to 20,194.04, 30,296.12 and 7,046.52

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Solution

The fourth proportional to 20,194.04, 30,296.12 and 7,046.52 is: 10,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.04 : 30,296.12 = 7,046.52 : x
  2. Step 2: Convert to fraction form
    20,194.04/30,296.12 = 7,046.52/x
  3. Step 3: Cross multiply
    20,194.04x = 30,296.12 × 7,046.52
  4. Step 4: Simplify right side
    20,194.04x = 213,482,215.50
  5. Step 5: Solve for x
    x = 213,482,215.50/20,194.04
  6. Step 6: Final answer
    x = 10,571.55

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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.