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Finding the Fourth Proportional to 16,111.28, 24,170.76 and 6,878

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Solution

The fourth proportional to 16,111.28, 24,170.76 and 6,878 is: 10,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.28 : 24,170.76 = 6,878 : x
  2. Step 2: Convert to fraction form
    16,111.28/24,170.76 = 6,878/x
  3. Step 3: Cross multiply
    16,111.28x = 24,170.76 × 6,878
  4. Step 4: Simplify right side
    16,111.28x = 166,246,487.28
  5. Step 5: Solve for x
    x = 166,246,487.28/16,111.28
  6. Step 6: Final answer
    x = 10,318.64

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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.