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Finding the Fourth Proportional to 23,449.44, 35,177.64 and 6,809.61

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Solution

The fourth proportional to 23,449.44, 35,177.64 and 6,809.61 is: 10,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.44 : 35,177.64 = 6,809.61 : x
  2. Step 2: Convert to fraction form
    23,449.44/35,177.64 = 6,809.61/x
  3. Step 3: Cross multiply
    23,449.44x = 35,177.64 × 6,809.61
  4. Step 4: Simplify right side
    23,449.44x = 239,546,009.12
  5. Step 5: Solve for x
    x = 239,546,009.12/23,449.44
  6. Step 6: Final answer
    x = 10,215.43

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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.