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Finding the Fourth Proportional to 12,846.43, 19,255.82 and 8,402.42

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Solution

The fourth proportional to 12,846.43, 19,255.82 and 8,402.42 is: 12,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.43 : 19,255.82 = 8,402.42 : x
  2. Step 2: Convert to fraction form
    12,846.43/19,255.82 = 8,402.42/x
  3. Step 3: Cross multiply
    12,846.43x = 19,255.82 × 8,402.42
  4. Step 4: Simplify right side
    12,846.43x = 161,795,411.81
  5. Step 5: Solve for x
    x = 161,795,411.81/12,846.43
  6. Step 6: Final answer
    x = 12,594.58

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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.