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Finding the Fourth Proportional to 29,245.20, 43,872.44 and 9,522.16

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Solution

The fourth proportional to 29,245.20, 43,872.44 and 9,522.16 is: 14,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,245.20 : 43,872.44 = 9,522.16 : x
  2. Step 2: Convert to fraction form
    29,245.20/43,872.44 = 9,522.16/x
  3. Step 3: Cross multiply
    29,245.20x = 43,872.44 × 9,522.16
  4. Step 4: Simplify right side
    29,245.20x = 417,760,393.27
  5. Step 5: Solve for x
    x = 417,760,393.27/29,245.20
  6. Step 6: Final answer
    x = 14,284.75

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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.