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Finding the Fourth Proportional to 12,468.26, 18,702.18 and 7,211.18

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Solution

The fourth proportional to 12,468.26, 18,702.18 and 7,211.18 is: 10,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.26 : 18,702.18 = 7,211.18 : x
  2. Step 2: Convert to fraction form
    12,468.26/18,702.18 = 7,211.18/x
  3. Step 3: Cross multiply
    12,468.26x = 18,702.18 × 7,211.18
  4. Step 4: Simplify right side
    12,468.26x = 134,864,786.37
  5. Step 5: Solve for x
    x = 134,864,786.37/12,468.26
  6. Step 6: Final answer
    x = 10,816.65

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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.