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Finding the Fourth Proportional to 19,198.64, 28,784.33 and 7,342.42

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Solution

The fourth proportional to 19,198.64, 28,784.33 and 7,342.42 is: 11,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.64 : 28,784.33 = 7,342.42 : x
  2. Step 2: Convert to fraction form
    19,198.64/28,784.33 = 7,342.42/x
  3. Step 3: Cross multiply
    19,198.64x = 28,784.33 × 7,342.42
  4. Step 4: Simplify right side
    19,198.64x = 211,346,640.28
  5. Step 5: Solve for x
    x = 211,346,640.28/19,198.64
  6. Step 6: Final answer
    x = 11,008.42

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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.