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Finding the Fourth Proportional to 19,589.63, 29,388.09 and 6,451.23

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Solution

The fourth proportional to 19,589.63, 29,388.09 and 6,451.23 is: 9,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.63 : 29,388.09 = 6,451.23 : x
  2. Step 2: Convert to fraction form
    19,589.63/29,388.09 = 6,451.23/x
  3. Step 3: Cross multiply
    19,589.63x = 29,388.09 × 6,451.23
  4. Step 4: Simplify right side
    19,589.63x = 189,589,327.85
  5. Step 5: Solve for x
    x = 189,589,327.85/19,589.63
  6. Step 6: Final answer
    x = 9,678.05

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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.