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Finding the Fourth Proportional to 12,413.40, 18,620.10 and 4,094.70

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Solution

The fourth proportional to 12,413.40, 18,620.10 and 4,094.70 is: 6,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.40 : 18,620.10 = 4,094.70 : x
  2. Step 2: Convert to fraction form
    12,413.40/18,620.10 = 4,094.70/x
  3. Step 3: Cross multiply
    12,413.40x = 18,620.10 × 4,094.70
  4. Step 4: Simplify right side
    12,413.40x = 76,243,723.47
  5. Step 5: Solve for x
    x = 76,243,723.47/12,413.40
  6. Step 6: Final answer
    x = 6,142.05

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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.