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Finding the Fourth Proportional to 19,770.55, 29,666.79 and 8,091.97

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Solution

The fourth proportional to 19,770.55, 29,666.79 and 8,091.97 is: 12,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.55 : 29,666.79 = 8,091.97 : x
  2. Step 2: Convert to fraction form
    19,770.55/29,666.79 = 8,091.97/x
  3. Step 3: Cross multiply
    19,770.55x = 29,666.79 × 8,091.97
  4. Step 4: Simplify right side
    19,770.55x = 240,062,700.51
  5. Step 5: Solve for x
    x = 240,062,700.51/19,770.55
  6. Step 6: Final answer
    x = 12,142.44

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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.