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Finding the Fourth Proportional to 19,976.36, 29,966.22 and 6,829.64

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Solution

The fourth proportional to 19,976.36, 29,966.22 and 6,829.64 is: 10,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.36 : 29,966.22 = 6,829.64 : x
  2. Step 2: Convert to fraction form
    19,976.36/29,966.22 = 6,829.64/x
  3. Step 3: Cross multiply
    19,976.36x = 29,966.22 × 6,829.64
  4. Step 4: Simplify right side
    19,976.36x = 204,658,494.76
  5. Step 5: Solve for x
    x = 204,658,494.76/19,976.36
  6. Step 6: Final answer
    x = 10,245.03

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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.