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Finding the Fourth Proportional to 24,644.44, 36,963.19 and 8,004.70

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Solution

The fourth proportional to 24,644.44, 36,963.19 and 8,004.70 is: 12,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.44 : 36,963.19 = 8,004.70 : x
  2. Step 2: Convert to fraction form
    24,644.44/36,963.19 = 8,004.70/x
  3. Step 3: Cross multiply
    24,644.44x = 36,963.19 × 8,004.70
  4. Step 4: Simplify right side
    24,644.44x = 295,879,246.99
  5. Step 5: Solve for x
    x = 295,879,246.99/24,644.44
  6. Step 6: Final answer
    x = 12,005.92

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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.