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Finding the Fourth Proportional to 24,842.44, 37,227.42 and 11,519.50

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Solution

The fourth proportional to 24,842.44, 37,227.42 and 11,519.50 is: 17,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.44 : 37,227.42 = 11,519.50 : x
  2. Step 2: Convert to fraction form
    24,842.44/37,227.42 = 11,519.50/x
  3. Step 3: Cross multiply
    24,842.44x = 37,227.42 × 11,519.50
  4. Step 4: Simplify right side
    24,842.44x = 428,841,264.69
  5. Step 5: Solve for x
    x = 428,841,264.69/24,842.44
  6. Step 6: Final answer
    x = 17,262.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.