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Finding the Fourth Proportional to 12,269.65, 18,371.47 and 6,413.96

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Solution

The fourth proportional to 12,269.65, 18,371.47 and 6,413.96 is: 9,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.65 : 18,371.47 = 6,413.96 : x
  2. Step 2: Convert to fraction form
    12,269.65/18,371.47 = 6,413.96/x
  3. Step 3: Cross multiply
    12,269.65x = 18,371.47 × 6,413.96
  4. Step 4: Simplify right side
    12,269.65x = 117,833,873.72
  5. Step 5: Solve for x
    x = 117,833,873.72/12,269.65
  6. Step 6: Final answer
    x = 9,603.69

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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.