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Finding the Fourth Proportional to 22,454.88, 33,682.32 and 10,771.44

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Solution

The fourth proportional to 22,454.88, 33,682.32 and 10,771.44 is: 16,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.88 : 33,682.32 = 10,771.44 : x
  2. Step 2: Convert to fraction form
    22,454.88/33,682.32 = 10,771.44/x
  3. Step 3: Cross multiply
    22,454.88x = 33,682.32 × 10,771.44
  4. Step 4: Simplify right side
    22,454.88x = 362,807,088.94
  5. Step 5: Solve for x
    x = 362,807,088.94/22,454.88
  6. Step 6: Final answer
    x = 16,157.16

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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.