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Finding the Fourth Proportional to 19,704.98, 29,556.64 and 9,171.38

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Solution

The fourth proportional to 19,704.98, 29,556.64 and 9,171.38 is: 13,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.98 : 29,556.64 = 9,171.38 : x
  2. Step 2: Convert to fraction form
    19,704.98/29,556.64 = 9,171.38/x
  3. Step 3: Cross multiply
    19,704.98x = 29,556.64 × 9,171.38
  4. Step 4: Simplify right side
    19,704.98x = 271,075,048.05
  5. Step 5: Solve for x
    x = 271,075,048.05/19,704.98
  6. Step 6: Final answer
    x = 13,756.68

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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.