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Finding the Fourth Proportional to 23,212.12, 34,807.84 and 7,414.24

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Solution

The fourth proportional to 23,212.12, 34,807.84 and 7,414.24 is: 11,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.12 : 34,807.84 = 7,414.24 : x
  2. Step 2: Convert to fraction form
    23,212.12/34,807.84 = 7,414.24/x
  3. Step 3: Cross multiply
    23,212.12x = 34,807.84 × 7,414.24
  4. Step 4: Simplify right side
    23,212.12x = 258,073,679.64
  5. Step 5: Solve for x
    x = 258,073,679.64/23,212.12
  6. Step 6: Final answer
    x = 11,118.06

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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.