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Finding the Fourth Proportional to 22,971.44, 34,462.38 and 8,181.92

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Solution

The fourth proportional to 22,971.44, 34,462.38 and 8,181.92 is: 12,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.44 : 34,462.38 = 8,181.92 : x
  2. Step 2: Convert to fraction form
    22,971.44/34,462.38 = 8,181.92/x
  3. Step 3: Cross multiply
    22,971.44x = 34,462.38 × 8,181.92
  4. Step 4: Simplify right side
    22,971.44x = 281,968,436.17
  5. Step 5: Solve for x
    x = 281,968,436.17/22,971.44
  6. Step 6: Final answer
    x = 12,274.74

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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.