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Finding the Fourth Proportional to 27,399.24, 37,810.92 and 14,824

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Solution

The fourth proportional to 27,399.24, 37,810.92 and 14,824 is: 20,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399.24 : 37,810.92 = 14,824 : x
  2. Step 2: Convert to fraction form
    27,399.24/37,810.92 = 14,824/x
  3. Step 3: Cross multiply
    27,399.24x = 37,810.92 × 14,824
  4. Step 4: Simplify right side
    27,399.24x = 560,509,078.08
  5. Step 5: Solve for x
    x = 560,509,078.08/27,399.24
  6. Step 6: Final answer
    x = 20,457.10

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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.