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Finding the Fourth Proportional to 13,204, 19,806.04 and 4,996

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Solution

The fourth proportional to 13,204, 19,806.04 and 4,996 is: 7,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 19,806.04 = 4,996 : x
  2. Step 2: Convert to fraction form
    13,204/19,806.04 = 4,996/x
  3. Step 3: Cross multiply
    13,204x = 19,806.04 × 4,996
  4. Step 4: Simplify right side
    13,204x = 98,950,975.84
  5. Step 5: Solve for x
    x = 98,950,975.84/13,204
  6. Step 6: Final answer
    x = 7,494.02

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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.