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Finding the Fourth Proportional to 13,404, 18,497.48 and 8,097.82

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Solution

The fourth proportional to 13,404, 18,497.48 and 8,097.82 is: 11,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404 : 18,497.48 = 8,097.82 : x
  2. Step 2: Convert to fraction form
    13,404/18,497.48 = 8,097.82/x
  3. Step 3: Cross multiply
    13,404x = 18,497.48 × 8,097.82
  4. Step 4: Simplify right side
    13,404x = 149,789,263.49
  5. Step 5: Solve for x
    x = 149,789,263.49/13,404
  6. Step 6: Final answer
    x = 11,174.97

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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.