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Finding the Fourth Proportional to 27,424.36, 37,845.19 and 14,849.11

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Solution

The fourth proportional to 27,424.36, 37,845.19 and 14,849.11 is: 20,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.36 : 37,845.19 = 14,849.11 : x
  2. Step 2: Convert to fraction form
    27,424.36/37,845.19 = 14,849.11/x
  3. Step 3: Cross multiply
    27,424.36x = 37,845.19 × 14,849.11
  4. Step 4: Simplify right side
    27,424.36x = 561,967,389.28
  5. Step 5: Solve for x
    x = 561,967,389.28/27,424.36
  6. Step 6: Final answer
    x = 20,491.54

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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.