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Finding the Fourth Proportional to 24,167.88, 36,244.44 and 8,584.56

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Solution

The fourth proportional to 24,167.88, 36,244.44 and 8,584.56 is: 12,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167.88 : 36,244.44 = 8,584.56 : x
  2. Step 2: Convert to fraction form
    24,167.88/36,244.44 = 8,584.56/x
  3. Step 3: Cross multiply
    24,167.88x = 36,244.44 × 8,584.56
  4. Step 4: Simplify right side
    24,167.88x = 311,142,569.85
  5. Step 5: Solve for x
    x = 311,142,569.85/24,167.88
  6. Step 6: Final answer
    x = 12,874.22

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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.