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Finding the Fourth Proportional to 18,826.88, 28,234.56 and 6,512

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Solution

The fourth proportional to 18,826.88, 28,234.56 and 6,512 is: 9,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,826.88 : 28,234.56 = 6,512 : x
  2. Step 2: Convert to fraction form
    18,826.88/28,234.56 = 6,512/x
  3. Step 3: Cross multiply
    18,826.88x = 28,234.56 × 6,512
  4. Step 4: Simplify right side
    18,826.88x = 183,863,454.72
  5. Step 5: Solve for x
    x = 183,863,454.72/18,826.88
  6. Step 6: Final answer
    x = 9,766.01

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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.