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Finding the Fourth Proportional to 19,706.69, 29,556.34 and 8,464.01

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Solution

The fourth proportional to 19,706.69, 29,556.34 and 8,464.01 is: 12,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.69 : 29,556.34 = 8,464.01 : x
  2. Step 2: Convert to fraction form
    19,706.69/29,556.34 = 8,464.01/x
  3. Step 3: Cross multiply
    19,706.69x = 29,556.34 × 8,464.01
  4. Step 4: Simplify right side
    19,706.69x = 250,165,157.32
  5. Step 5: Solve for x
    x = 250,165,157.32/19,706.69
  6. Step 6: Final answer
    x = 12,694.43

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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.