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Finding the Fourth Proportional to 12,847.43, 19,257.32 and 8,403.42

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Solution

The fourth proportional to 12,847.43, 19,257.32 and 8,403.42 is: 12,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.43 : 19,257.32 = 8,403.42 : x
  2. Step 2: Convert to fraction form
    12,847.43/19,257.32 = 8,403.42/x
  3. Step 3: Cross multiply
    12,847.43x = 19,257.32 × 8,403.42
  4. Step 4: Simplify right side
    12,847.43x = 161,827,348.03
  5. Step 5: Solve for x
    x = 161,827,348.03/12,847.43
  6. Step 6: Final answer
    x = 12,596.09

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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.