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Finding the Fourth Proportional to 27,424.69, 37,846.11 and 14,849.44

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Solution

The fourth proportional to 27,424.69, 37,846.11 and 14,849.44 is: 20,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.69 : 37,846.11 = 14,849.44 : x
  2. Step 2: Convert to fraction form
    27,424.69/37,846.11 = 14,849.44/x
  3. Step 3: Cross multiply
    27,424.69x = 37,846.11 × 14,849.44
  4. Step 4: Simplify right side
    27,424.69x = 561,993,539.68
  5. Step 5: Solve for x
    x = 561,993,539.68/27,424.69
  6. Step 6: Final answer
    x = 20,492.25

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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.