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Finding the Fourth Proportional to 19,530.28, 29,296.79 and 7,843.50

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Solution

The fourth proportional to 19,530.28, 29,296.79 and 7,843.50 is: 11,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.28 : 29,296.79 = 7,843.50 : x
  2. Step 2: Convert to fraction form
    19,530.28/29,296.79 = 7,843.50/x
  3. Step 3: Cross multiply
    19,530.28x = 29,296.79 × 7,843.50
  4. Step 4: Simplify right side
    19,530.28x = 229,789,362.56
  5. Step 5: Solve for x
    x = 229,789,362.56/19,530.28
  6. Step 6: Final answer
    x = 11,765.80

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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.