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Finding the Fourth Proportional to 10,808.20, 16,169.10 and 9,771.40

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Solution

The fourth proportional to 10,808.20, 16,169.10 and 9,771.40 is: 14,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.20 : 16,169.10 = 9,771.40 : x
  2. Step 2: Convert to fraction form
    10,808.20/16,169.10 = 9,771.40/x
  3. Step 3: Cross multiply
    10,808.20x = 16,169.10 × 9,771.40
  4. Step 4: Simplify right side
    10,808.20x = 157,994,743.74
  5. Step 5: Solve for x
    x = 157,994,743.74/10,808.20
  6. Step 6: Final answer
    x = 14,618.04

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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.