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Finding the Fourth Proportional to 19,771.40, 29,657.10 and 8,081.89

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Solution

The fourth proportional to 19,771.40, 29,657.10 and 8,081.89 is: 12,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.40 : 29,657.10 = 8,081.89 : x
  2. Step 2: Convert to fraction form
    19,771.40/29,657.10 = 8,081.89/x
  3. Step 3: Cross multiply
    19,771.40x = 29,657.10 × 8,081.89
  4. Step 4: Simplify right side
    19,771.40x = 239,685,419.92
  5. Step 5: Solve for x
    x = 239,685,419.92/19,771.40
  6. Step 6: Final answer
    x = 12,122.84

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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.