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Finding the Fourth Proportional to 27,399.25, 37,810.97 and 14,824

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Solution

The fourth proportional to 27,399.25, 37,810.97 and 14,824 is: 20,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399.25 : 37,810.97 = 14,824 : x
  2. Step 2: Convert to fraction form
    27,399.25/37,810.97 = 14,824/x
  3. Step 3: Cross multiply
    27,399.25x = 37,810.97 × 14,824
  4. Step 4: Simplify right side
    27,399.25x = 560,509,819.28
  5. Step 5: Solve for x
    x = 560,509,819.28/27,399.25
  6. Step 6: Final answer
    x = 20,457.12

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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.