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Finding the Fourth Proportional to 16,223.94, 24,336 and 6,861.60

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Solution

The fourth proportional to 16,223.94, 24,336 and 6,861.60 is: 10,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.94 : 24,336 = 6,861.60 : x
  2. Step 2: Convert to fraction form
    16,223.94/24,336 = 6,861.60/x
  3. Step 3: Cross multiply
    16,223.94x = 24,336 × 6,861.60
  4. Step 4: Simplify right side
    16,223.94x = 166,983,897.60
  5. Step 5: Solve for x
    x = 166,983,897.60/16,223.94
  6. Step 6: Final answer
    x = 10,292.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.