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Finding the Fourth Proportional to 13,206.92, 19,792 and 6,179.36

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Solution

The fourth proportional to 13,206.92, 19,792 and 6,179.36 is: 9,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.92 : 19,792 = 6,179.36 : x
  2. Step 2: Convert to fraction form
    13,206.92/19,792 = 6,179.36/x
  3. Step 3: Cross multiply
    13,206.92x = 19,792 × 6,179.36
  4. Step 4: Simplify right side
    13,206.92x = 122,301,893.12
  5. Step 5: Solve for x
    x = 122,301,893.12/13,206.92
  6. Step 6: Final answer
    x = 9,260.44

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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.