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Finding the Fourth Proportional to 11,894.20, 16,380.70 and 11,635.91

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Solution

The fourth proportional to 11,894.20, 16,380.70 and 11,635.91 is: 16,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.20 : 16,380.70 = 11,635.91 : x
  2. Step 2: Convert to fraction form
    11,894.20/16,380.70 = 11,635.91/x
  3. Step 3: Cross multiply
    11,894.20x = 16,380.70 × 11,635.91
  4. Step 4: Simplify right side
    11,894.20x = 190,604,350.94
  5. Step 5: Solve for x
    x = 190,604,350.94/11,894.20
  6. Step 6: Final answer
    x = 16,024.98

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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.