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Finding the Fourth Proportional to 13,198.92, 19,798.32 and 3,339

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Solution

The fourth proportional to 13,198.92, 19,798.32 and 3,339 is: 5,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.92 : 19,798.32 = 3,339 : x
  2. Step 2: Convert to fraction form
    13,198.92/19,798.32 = 3,339/x
  3. Step 3: Cross multiply
    13,198.92x = 19,798.32 × 3,339
  4. Step 4: Simplify right side
    13,198.92x = 66,106,590.48
  5. Step 5: Solve for x
    x = 66,106,590.48/13,198.92
  6. Step 6: Final answer
    x = 5,008.48

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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.