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Finding the Fourth Proportional to 22,823.44, 34,235.16 and 7,241.06

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Solution

The fourth proportional to 22,823.44, 34,235.16 and 7,241.06 is: 10,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.44 : 34,235.16 = 7,241.06 : x
  2. Step 2: Convert to fraction form
    22,823.44/34,235.16 = 7,241.06/x
  3. Step 3: Cross multiply
    22,823.44x = 34,235.16 × 7,241.06
  4. Step 4: Simplify right side
    22,823.44x = 247,898,906.10
  5. Step 5: Solve for x
    x = 247,898,906.10/22,823.44
  6. Step 6: Final answer
    x = 10,861.59

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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.