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Finding the Fourth Proportional to 19,871.82, 29,807.73 and 6,733.44

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Solution

The fourth proportional to 19,871.82, 29,807.73 and 6,733.44 is: 10,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.82 : 29,807.73 = 6,733.44 : x
  2. Step 2: Convert to fraction form
    19,871.82/29,807.73 = 6,733.44/x
  3. Step 3: Cross multiply
    19,871.82x = 29,807.73 × 6,733.44
  4. Step 4: Simplify right side
    19,871.82x = 200,708,561.49
  5. Step 5: Solve for x
    x = 200,708,561.49/19,871.82
  6. Step 6: Final answer
    x = 10,100.16

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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.