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Finding the Fourth Proportional to 14,793.66, 20,413.89 and 8,822.34

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Solution

The fourth proportional to 14,793.66, 20,413.89 and 8,822.34 is: 12,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.66 : 20,413.89 = 8,822.34 : x
  2. Step 2: Convert to fraction form
    14,793.66/20,413.89 = 8,822.34/x
  3. Step 3: Cross multiply
    14,793.66x = 20,413.89 × 8,822.34
  4. Step 4: Simplify right side
    14,793.66x = 180,098,278.30
  5. Step 5: Solve for x
    x = 180,098,278.30/14,793.66
  6. Step 6: Final answer
    x = 12,174.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.