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Finding the Fourth Proportional to 16,211, 24,323.82 and 9,285.50

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Solution

The fourth proportional to 16,211, 24,323.82 and 9,285.50 is: 13,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211 : 24,323.82 = 9,285.50 : x
  2. Step 2: Convert to fraction form
    16,211/24,323.82 = 9,285.50/x
  3. Step 3: Cross multiply
    16,211x = 24,323.82 × 9,285.50
  4. Step 4: Simplify right side
    16,211x = 225,858,830.61
  5. Step 5: Solve for x
    x = 225,858,830.61/16,211
  6. Step 6: Final answer
    x = 13,932.44

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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.