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Finding the Fourth Proportional to 24,791.76, 37,196.92 and 14,938

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Solution

The fourth proportional to 24,791.76, 37,196.92 and 14,938 is: 22,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.76 : 37,196.92 = 14,938 : x
  2. Step 2: Convert to fraction form
    24,791.76/37,196.92 = 14,938/x
  3. Step 3: Cross multiply
    24,791.76x = 37,196.92 × 14,938
  4. Step 4: Simplify right side
    24,791.76x = 555,647,590.96
  5. Step 5: Solve for x
    x = 555,647,590.96/24,791.76
  6. Step 6: Final answer
    x = 22,412.59

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