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Finding the Fourth Proportional to 22,954.56, 34,419.89 and 8,161.32

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Solution

The fourth proportional to 22,954.56, 34,419.89 and 8,161.32 is: 12,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.56 : 34,419.89 = 8,161.32 : x
  2. Step 2: Convert to fraction form
    22,954.56/34,419.89 = 8,161.32/x
  3. Step 3: Cross multiply
    22,954.56x = 34,419.89 × 8,161.32
  4. Step 4: Simplify right side
    22,954.56x = 280,911,840.23
  5. Step 5: Solve for x
    x = 280,911,840.23/22,954.56
  6. Step 6: Final answer
    x = 12,237.74

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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.