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Finding the Fourth Proportional to 16,034.64, 22,127.04 and 8,961

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Solution

The fourth proportional to 16,034.64, 22,127.04 and 8,961 is: 12,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.64 : 22,127.04 = 8,961 : x
  2. Step 2: Convert to fraction form
    16,034.64/22,127.04 = 8,961/x
  3. Step 3: Cross multiply
    16,034.64x = 22,127.04 × 8,961
  4. Step 4: Simplify right side
    16,034.64x = 198,280,405.44
  5. Step 5: Solve for x
    x = 198,280,405.44/16,034.64
  6. Step 6: Final answer
    x = 12,365.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.