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Finding the Fourth Proportional to 19,561.52, 29,336.14 and 6,410.96

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Solution

The fourth proportional to 19,561.52, 29,336.14 and 6,410.96 is: 9,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.52 : 29,336.14 = 6,410.96 : x
  2. Step 2: Convert to fraction form
    19,561.52/29,336.14 = 6,410.96/x
  3. Step 3: Cross multiply
    19,561.52x = 29,336.14 × 6,410.96
  4. Step 4: Simplify right side
    19,561.52x = 188,072,820.09
  5. Step 5: Solve for x
    x = 188,072,820.09/19,561.52
  6. Step 6: Final answer
    x = 9,614.43

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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.