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Finding the Fourth Proportional to 24,643.44, 36,961.70 and 8,003.70

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Solution

The fourth proportional to 24,643.44, 36,961.70 and 8,003.70 is: 12,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.44 : 36,961.70 = 8,003.70 : x
  2. Step 2: Convert to fraction form
    24,643.44/36,961.70 = 8,003.70/x
  3. Step 3: Cross multiply
    24,643.44x = 36,961.70 × 8,003.70
  4. Step 4: Simplify right side
    24,643.44x = 295,830,318.27
  5. Step 5: Solve for x
    x = 295,830,318.27/24,643.44
  6. Step 6: Final answer
    x = 12,004.42

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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.