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Finding the Fourth Proportional to 24,791.52, 37,169.28 and 8,146.08

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Solution

The fourth proportional to 24,791.52, 37,169.28 and 8,146.08 is: 12,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.52 : 37,169.28 = 8,146.08 : x
  2. Step 2: Convert to fraction form
    24,791.52/37,169.28 = 8,146.08/x
  3. Step 3: Cross multiply
    24,791.52x = 37,169.28 × 8,146.08
  4. Step 4: Simplify right side
    24,791.52x = 302,783,928.42
  5. Step 5: Solve for x
    x = 302,783,928.42/24,791.52
  6. Step 6: Final answer
    x = 12,213.21

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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.