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Finding the Fourth Proportional to 19,685.12, 29,539.92 and 7,998.34

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Solution

The fourth proportional to 19,685.12, 29,539.92 and 7,998.34 is: 12,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.12 : 29,539.92 = 7,998.34 : x
  2. Step 2: Convert to fraction form
    19,685.12/29,539.92 = 7,998.34/x
  3. Step 3: Cross multiply
    19,685.12x = 29,539.92 × 7,998.34
  4. Step 4: Simplify right side
    19,685.12x = 236,270,229.69
  5. Step 5: Solve for x
    x = 236,270,229.69/19,685.12
  6. Step 6: Final answer
    x = 12,002.48

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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.