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Finding the Fourth Proportional to 23,261.70, 34,872.13 and 9,231.63

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Solution

The fourth proportional to 23,261.70, 34,872.13 and 9,231.63 is: 13,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.70 : 34,872.13 = 9,231.63 : x
  2. Step 2: Convert to fraction form
    23,261.70/34,872.13 = 9,231.63/x
  3. Step 3: Cross multiply
    23,261.70x = 34,872.13 × 9,231.63
  4. Step 4: Simplify right side
    23,261.70x = 321,926,601.47
  5. Step 5: Solve for x
    x = 321,926,601.47/23,261.70
  6. Step 6: Final answer
    x = 13,839.34

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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.