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Finding the Fourth Proportional to 27,546, 38,022.48 and 16,215.36

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Solution

The fourth proportional to 27,546, 38,022.48 and 16,215.36 is: 22,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546 : 38,022.48 = 16,215.36 : x
  2. Step 2: Convert to fraction form
    27,546/38,022.48 = 16,215.36/x
  3. Step 3: Cross multiply
    27,546x = 38,022.48 × 16,215.36
  4. Step 4: Simplify right side
    27,546x = 616,548,201.29
  5. Step 5: Solve for x
    x = 616,548,201.29/27,546
  6. Step 6: Final answer
    x = 22,382.49

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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.