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Finding the Fourth Proportional to 12,454.96, 18,685.86 and 6,207.43

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Solution

The fourth proportional to 12,454.96, 18,685.86 and 6,207.43 is: 9,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.96 : 18,685.86 = 6,207.43 : x
  2. Step 2: Convert to fraction form
    12,454.96/18,685.86 = 6,207.43/x
  3. Step 3: Cross multiply
    12,454.96x = 18,685.86 × 6,207.43
  4. Step 4: Simplify right side
    12,454.96x = 115,991,136.90
  5. Step 5: Solve for x
    x = 115,991,136.90/12,454.96
  6. Step 6: Final answer
    x = 9,312.85

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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.