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Finding the Fourth Proportional to 13,540.60, 18,694.10 and 8,509.08

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Solution

The fourth proportional to 13,540.60, 18,694.10 and 8,509.08 is: 11,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.60 : 18,694.10 = 8,509.08 : x
  2. Step 2: Convert to fraction form
    13,540.60/18,694.10 = 8,509.08/x
  3. Step 3: Cross multiply
    13,540.60x = 18,694.10 × 8,509.08
  4. Step 4: Simplify right side
    13,540.60x = 159,069,592.43
  5. Step 5: Solve for x
    x = 159,069,592.43/13,540.60
  6. Step 6: Final answer
    x = 11,747.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.