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Finding the Fourth Proportional to 14,792.20, 20,413.34 and 8,077.70

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Solution

The fourth proportional to 14,792.20, 20,413.34 and 8,077.70 is: 11,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.20 : 20,413.34 = 8,077.70 : x
  2. Step 2: Convert to fraction form
    14,792.20/20,413.34 = 8,077.70/x
  3. Step 3: Cross multiply
    14,792.20x = 20,413.34 × 8,077.70
  4. Step 4: Simplify right side
    14,792.20x = 164,892,836.52
  5. Step 5: Solve for x
    x = 164,892,836.52/14,792.20
  6. Step 6: Final answer
    x = 11,147.28

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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.