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Finding the Fourth Proportional to 23,467.06, 35,194.02 and 11,777.14

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Solution

The fourth proportional to 23,467.06, 35,194.02 and 11,777.14 is: 17,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.06 : 35,194.02 = 11,777.14 : x
  2. Step 2: Convert to fraction form
    23,467.06/35,194.02 = 11,777.14/x
  3. Step 3: Cross multiply
    23,467.06x = 35,194.02 × 11,777.14
  4. Step 4: Simplify right side
    23,467.06x = 414,484,900.70
  5. Step 5: Solve for x
    x = 414,484,900.70/23,467.06
  6. Step 6: Final answer
    x = 17,662.41

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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.