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Finding the Fourth Proportional to 11,449.92, 17,180.64 and 8,534.08

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Solution

The fourth proportional to 11,449.92, 17,180.64 and 8,534.08 is: 12,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.92 : 17,180.64 = 8,534.08 : x
  2. Step 2: Convert to fraction form
    11,449.92/17,180.64 = 8,534.08/x
  3. Step 3: Cross multiply
    11,449.92x = 17,180.64 × 8,534.08
  4. Step 4: Simplify right side
    11,449.92x = 146,620,956.21
  5. Step 5: Solve for x
    x = 146,620,956.21/11,449.92
  6. Step 6: Final answer
    x = 12,805.41

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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.