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Finding the Fourth Proportional to 21,469.36, 32,193.78 and 6,678.46

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Solution

The fourth proportional to 21,469.36, 32,193.78 and 6,678.46 is: 10,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.36 : 32,193.78 = 6,678.46 : x
  2. Step 2: Convert to fraction form
    21,469.36/32,193.78 = 6,678.46/x
  3. Step 3: Cross multiply
    21,469.36x = 32,193.78 × 6,678.46
  4. Step 4: Simplify right side
    21,469.36x = 215,004,871.98
  5. Step 5: Solve for x
    x = 215,004,871.98/21,469.36
  6. Step 6: Final answer
    x = 10,014.50

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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.