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Finding the Fourth Proportional to 11,894.20, 17,841.30 and 8,438.20

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Solution

The fourth proportional to 11,894.20, 17,841.30 and 8,438.20 is: 12,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.20 : 17,841.30 = 8,438.20 : x
  2. Step 2: Convert to fraction form
    11,894.20/17,841.30 = 8,438.20/x
  3. Step 3: Cross multiply
    11,894.20x = 17,841.30 × 8,438.20
  4. Step 4: Simplify right side
    11,894.20x = 150,548,457.66
  5. Step 5: Solve for x
    x = 150,548,457.66/11,894.20
  6. Step 6: Final answer
    x = 12,657.30

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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.