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Finding the Fourth Proportional to 27,817.97, 38,366.51 and 24,453.63

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Solution

The fourth proportional to 27,817.97, 38,366.51 and 24,453.63 is: 33,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.97 : 38,366.51 = 24,453.63 : x
  2. Step 2: Convert to fraction form
    27,817.97/38,366.51 = 24,453.63/x
  3. Step 3: Cross multiply
    27,817.97x = 38,366.51 × 24,453.63
  4. Step 4: Simplify right side
    27,817.97x = 938,200,317.66
  5. Step 5: Solve for x
    x = 938,200,317.66/27,817.97
  6. Step 6: Final answer
    x = 33,726.42

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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.