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Finding the Fourth Proportional to 19,594.08, 29,383.20 and 9,198.72

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Solution

The fourth proportional to 19,594.08, 29,383.20 and 9,198.72 is: 13,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.08 : 29,383.20 = 9,198.72 : x
  2. Step 2: Convert to fraction form
    19,594.08/29,383.20 = 9,198.72/x
  3. Step 3: Cross multiply
    19,594.08x = 29,383.20 × 9,198.72
  4. Step 4: Simplify right side
    19,594.08x = 270,287,829.50
  5. Step 5: Solve for x
    x = 270,287,829.50/19,594.08
  6. Step 6: Final answer
    x = 13,794.36

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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.