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Finding the Fourth Proportional to 24,163.91, 36,245.42 and 9,929.36

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Solution

The fourth proportional to 24,163.91, 36,245.42 and 9,929.36 is: 14,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,163.91 : 36,245.42 = 9,929.36 : x
  2. Step 2: Convert to fraction form
    24,163.91/36,245.42 = 9,929.36/x
  3. Step 3: Cross multiply
    24,163.91x = 36,245.42 × 9,929.36
  4. Step 4: Simplify right side
    24,163.91x = 359,893,592.66
  5. Step 5: Solve for x
    x = 359,893,592.66/24,163.91
  6. Step 6: Final answer
    x = 14,893.85

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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.