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Finding the Fourth Proportional to 12,087.60, 18,145.80 and 6,826.80

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Solution

The fourth proportional to 12,087.60, 18,145.80 and 6,826.80 is: 10,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.60 : 18,145.80 = 6,826.80 : x
  2. Step 2: Convert to fraction form
    12,087.60/18,145.80 = 6,826.80/x
  3. Step 3: Cross multiply
    12,087.60x = 18,145.80 × 6,826.80
  4. Step 4: Simplify right side
    12,087.60x = 123,877,747.44
  5. Step 5: Solve for x
    x = 123,877,747.44/12,087.60
  6. Step 6: Final answer
    x = 10,248.33

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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.