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Finding the Fourth Proportional to 16,199.85, 24,244.90 and 9,963.82

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Solution

The fourth proportional to 16,199.85, 24,244.90 and 9,963.82 is: 14,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.85 : 24,244.90 = 9,963.82 : x
  2. Step 2: Convert to fraction form
    16,199.85/24,244.90 = 9,963.82/x
  3. Step 3: Cross multiply
    16,199.85x = 24,244.90 × 9,963.82
  4. Step 4: Simplify right side
    16,199.85x = 241,571,824.91
  5. Step 5: Solve for x
    x = 241,571,824.91/16,199.85
  6. Step 6: Final answer
    x = 14,911.98

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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.