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Finding the Fourth Proportional to 27,342, 37,721.16 and 17,266.68

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Solution

The fourth proportional to 27,342, 37,721.16 and 17,266.68 is: 23,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 37,721.16 = 17,266.68 : x
  2. Step 2: Convert to fraction form
    27,342/37,721.16 = 17,266.68/x
  3. Step 3: Cross multiply
    27,342x = 37,721.16 × 17,266.68
  4. Step 4: Simplify right side
    27,342x = 651,319,198.95
  5. Step 5: Solve for x
    x = 651,319,198.95/27,342
  6. Step 6: Final answer
    x = 23,821.20

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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.