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Finding the Fourth Proportional to 11,195.90, 16,793.85 and 9,986.30

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Solution

The fourth proportional to 11,195.90, 16,793.85 and 9,986.30 is: 14,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.90 : 16,793.85 = 9,986.30 : x
  2. Step 2: Convert to fraction form
    11,195.90/16,793.85 = 9,986.30/x
  3. Step 3: Cross multiply
    11,195.90x = 16,793.85 × 9,986.30
  4. Step 4: Simplify right side
    11,195.90x = 167,708,424.26
  5. Step 5: Solve for x
    x = 167,708,424.26/11,195.90
  6. Step 6: Final answer
    x = 14,979.45

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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.