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Finding the Fourth Proportional to 12,189.18, 18,280.02 and 6,342.60

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Solution

The fourth proportional to 12,189.18, 18,280.02 and 6,342.60 is: 9,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.18 : 18,280.02 = 6,342.60 : x
  2. Step 2: Convert to fraction form
    12,189.18/18,280.02 = 6,342.60/x
  3. Step 3: Cross multiply
    12,189.18x = 18,280.02 × 6,342.60
  4. Step 4: Simplify right side
    12,189.18x = 115,942,854.85
  5. Step 5: Solve for x
    x = 115,942,854.85/12,189.18
  6. Step 6: Final answer
    x = 9,511.95

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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.