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Finding the Fourth Proportional to 12,283.57, 16,951.34 and 7,247.85

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Solution

The fourth proportional to 12,283.57, 16,951.34 and 7,247.85 is: 10,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.57 : 16,951.34 = 7,247.85 : x
  2. Step 2: Convert to fraction form
    12,283.57/16,951.34 = 7,247.85/x
  3. Step 3: Cross multiply
    12,283.57x = 16,951.34 × 7,247.85
  4. Step 4: Simplify right side
    12,283.57x = 122,860,769.62
  5. Step 5: Solve for x
    x = 122,860,769.62/12,283.57
  6. Step 6: Final answer
    x = 10,002.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.