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Finding the Fourth Proportional to 23,449.74, 35,173.22 and 6,809.42

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Solution

The fourth proportional to 23,449.74, 35,173.22 and 6,809.42 is: 10,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.74 : 35,173.22 = 6,809.42 : x
  2. Step 2: Convert to fraction form
    23,449.74/35,173.22 = 6,809.42/x
  3. Step 3: Cross multiply
    23,449.74x = 35,173.22 × 6,809.42
  4. Step 4: Simplify right side
    23,449.74x = 239,509,017.82
  5. Step 5: Solve for x
    x = 239,509,017.82/23,449.74
  6. Step 6: Final answer
    x = 10,213.72

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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.