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Finding the Fourth Proportional to 12,336.67, 18,510.27 and 8,178.13

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Solution

The fourth proportional to 12,336.67, 18,510.27 and 8,178.13 is: 12,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.67 : 18,510.27 = 8,178.13 : x
  2. Step 2: Convert to fraction form
    12,336.67/18,510.27 = 8,178.13/x
  3. Step 3: Cross multiply
    12,336.67x = 18,510.27 × 8,178.13
  4. Step 4: Simplify right side
    12,336.67x = 151,379,394.40
  5. Step 5: Solve for x
    x = 151,379,394.40/12,336.67
  6. Step 6: Final answer
    x = 12,270.69

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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.