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Finding the Fourth Proportional to 11,819.60, 17,729.40 and 8,563.40

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Solution

The fourth proportional to 11,819.60, 17,729.40 and 8,563.40 is: 12,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.60 : 17,729.40 = 8,563.40 : x
  2. Step 2: Convert to fraction form
    11,819.60/17,729.40 = 8,563.40/x
  3. Step 3: Cross multiply
    11,819.60x = 17,729.40 × 8,563.40
  4. Step 4: Simplify right side
    11,819.60x = 151,823,943.96
  5. Step 5: Solve for x
    x = 151,823,943.96/11,819.60
  6. Step 6: Final answer
    x = 12,845.10

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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.