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Finding the Fourth Proportional to 12,071.80, 18,083.40 and 6,871.60

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Solution

The fourth proportional to 12,071.80, 18,083.40 and 6,871.60 is: 10,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.80 : 18,083.40 = 6,871.60 : x
  2. Step 2: Convert to fraction form
    12,071.80/18,083.40 = 6,871.60/x
  3. Step 3: Cross multiply
    12,071.80x = 18,083.40 × 6,871.60
  4. Step 4: Simplify right side
    12,071.80x = 124,261,891.44
  5. Step 5: Solve for x
    x = 124,261,891.44/12,071.80
  6. Step 6: Final answer
    x = 10,293.57

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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.