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Finding the Fourth Proportional to 11,961.20, 16,506.98 and 9,968.42

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Solution

The fourth proportional to 11,961.20, 16,506.98 and 9,968.42 is: 13,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.20 : 16,506.98 = 9,968.42 : x
  2. Step 2: Convert to fraction form
    11,961.20/16,506.98 = 9,968.42/x
  3. Step 3: Cross multiply
    11,961.20x = 16,506.98 × 9,968.42
  4. Step 4: Simplify right side
    11,961.20x = 164,548,509.57
  5. Step 5: Solve for x
    x = 164,548,509.57/11,961.20
  6. Step 6: Final answer
    x = 13,756.86

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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.