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Finding the Fourth Proportional to 13,794, 19,033.80 and 8,208.08

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Solution

The fourth proportional to 13,794, 19,033.80 and 8,208.08 is: 11,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 19,033.80 = 8,208.08 : x
  2. Step 2: Convert to fraction form
    13,794/19,033.80 = 8,208.08/x
  3. Step 3: Cross multiply
    13,794x = 19,033.80 × 8,208.08
  4. Step 4: Simplify right side
    13,794x = 156,230,953.10
  5. Step 5: Solve for x
    x = 156,230,953.10/13,794
  6. Step 6: Final answer
    x = 11,326.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.