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Finding the Fourth Proportional to 19,694.47, 29,523.02 and 7,855.52

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Solution

The fourth proportional to 19,694.47, 29,523.02 and 7,855.52 is: 11,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.47 : 29,523.02 = 7,855.52 : x
  2. Step 2: Convert to fraction form
    19,694.47/29,523.02 = 7,855.52/x
  3. Step 3: Cross multiply
    19,694.47x = 29,523.02 × 7,855.52
  4. Step 4: Simplify right side
    19,694.47x = 231,918,634.79
  5. Step 5: Solve for x
    x = 231,918,634.79/19,694.47
  6. Step 6: Final answer
    x = 11,775.83

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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.