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Finding the Fourth Proportional to 19,347.54, 29,021.94 and 6,198.19

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Solution

The fourth proportional to 19,347.54, 29,021.94 and 6,198.19 is: 9,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.54 : 29,021.94 = 6,198.19 : x
  2. Step 2: Convert to fraction form
    19,347.54/29,021.94 = 6,198.19/x
  3. Step 3: Cross multiply
    19,347.54x = 29,021.94 × 6,198.19
  4. Step 4: Simplify right side
    19,347.54x = 179,883,498.29
  5. Step 5: Solve for x
    x = 179,883,498.29/19,347.54
  6. Step 6: Final answer
    x = 9,297.49

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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.