Home / 13,204-19,790.64-5,403.36

Finding the Fourth Proportional to 13,204, 19,790.64 and 5,403.36

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Solution

The fourth proportional to 13,204, 19,790.64 and 5,403.36 is: 8,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 19,790.64 = 5,403.36 : x
  2. Step 2: Convert to fraction form
    13,204/19,790.64 = 5,403.36/x
  3. Step 3: Cross multiply
    13,204x = 19,790.64 × 5,403.36
  4. Step 4: Simplify right side
    13,204x = 106,935,952.55
  5. Step 5: Solve for x
    x = 106,935,952.55/13,204
  6. Step 6: Final answer
    x = 8,098.75

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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.