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Finding the Fourth Proportional to 12,413.96, 18,623.55 and 3,648.14

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Solution

The fourth proportional to 12,413.96, 18,623.55 and 3,648.14 is: 5,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.96 : 18,623.55 = 3,648.14 : x
  2. Step 2: Convert to fraction form
    12,413.96/18,623.55 = 3,648.14/x
  3. Step 3: Cross multiply
    12,413.96x = 18,623.55 × 3,648.14
  4. Step 4: Simplify right side
    12,413.96x = 67,941,317.70
  5. Step 5: Solve for x
    x = 67,941,317.70/12,413.96
  6. Step 6: Final answer
    x = 5,472.98

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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.