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Finding the Fourth Proportional to 13,204.50, 19,782.03 and 6,622.98

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Solution

The fourth proportional to 13,204.50, 19,782.03 and 6,622.98 is: 9,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.50 : 19,782.03 = 6,622.98 : x
  2. Step 2: Convert to fraction form
    13,204.50/19,782.03 = 6,622.98/x
  3. Step 3: Cross multiply
    13,204.50x = 19,782.03 × 6,622.98
  4. Step 4: Simplify right side
    13,204.50x = 131,015,989.05
  5. Step 5: Solve for x
    x = 131,015,989.05/13,204.50
  6. Step 6: Final answer
    x = 9,922.07

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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.