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Finding the Fourth Proportional to 27,371.62, 37,782.24 and 16,044.76

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Solution

The fourth proportional to 27,371.62, 37,782.24 and 16,044.76 is: 22,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.62 : 37,782.24 = 16,044.76 : x
  2. Step 2: Convert to fraction form
    27,371.62/37,782.24 = 16,044.76/x
  3. Step 3: Cross multiply
    27,371.62x = 37,782.24 × 16,044.76
  4. Step 4: Simplify right side
    27,371.62x = 606,206,973.06
  5. Step 5: Solve for x
    x = 606,206,973.06/27,371.62
  6. Step 6: Final answer
    x = 22,147.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.