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Finding the Fourth Proportional to 13,413.90, 20,120.85 and 8,165.10

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Solution

The fourth proportional to 13,413.90, 20,120.85 and 8,165.10 is: 12,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.90 : 20,120.85 = 8,165.10 : x
  2. Step 2: Convert to fraction form
    13,413.90/20,120.85 = 8,165.10/x
  3. Step 3: Cross multiply
    13,413.90x = 20,120.85 × 8,165.10
  4. Step 4: Simplify right side
    13,413.90x = 164,288,752.34
  5. Step 5: Solve for x
    x = 164,288,752.34/13,413.90
  6. Step 6: Final answer
    x = 12,247.65

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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.