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Finding the Fourth Proportional to 27,504, 37,965.36 and 16,326

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Solution

The fourth proportional to 27,504, 37,965.36 and 16,326 is: 22,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504 : 37,965.36 = 16,326 : x
  2. Step 2: Convert to fraction form
    27,504/37,965.36 = 16,326/x
  3. Step 3: Cross multiply
    27,504x = 37,965.36 × 16,326
  4. Step 4: Simplify right side
    27,504x = 619,822,467.36
  5. Step 5: Solve for x
    x = 619,822,467.36/27,504
  6. Step 6: Final answer
    x = 22,535.72

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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.