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Finding the Fourth Proportional to 19,847.62, 29,770.38 and 5,055.64

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Solution

The fourth proportional to 19,847.62, 29,770.38 and 5,055.64 is: 7,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.62 : 29,770.38 = 5,055.64 : x
  2. Step 2: Convert to fraction form
    19,847.62/29,770.38 = 5,055.64/x
  3. Step 3: Cross multiply
    19,847.62x = 29,770.38 × 5,055.64
  4. Step 4: Simplify right side
    19,847.62x = 150,508,323.94
  5. Step 5: Solve for x
    x = 150,508,323.94/19,847.62
  6. Step 6: Final answer
    x = 7,583.19

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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.