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Finding the Fourth Proportional to 19,704.42, 29,561.09 and 6,557.31

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Solution

The fourth proportional to 19,704.42, 29,561.09 and 6,557.31 is: 9,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.42 : 29,561.09 = 6,557.31 : x
  2. Step 2: Convert to fraction form
    19,704.42/29,561.09 = 6,557.31/x
  3. Step 3: Cross multiply
    19,704.42x = 29,561.09 × 6,557.31
  4. Step 4: Simplify right side
    19,704.42x = 193,841,198.28
  5. Step 5: Solve for x
    x = 193,841,198.28/19,704.42
  6. Step 6: Final answer
    x = 9,837.45

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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.