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Finding the Fourth Proportional to 13,930.50, 20,876.10 and 7,693.32

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Solution

The fourth proportional to 13,930.50, 20,876.10 and 7,693.32 is: 11,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.50 : 20,876.10 = 7,693.32 : x
  2. Step 2: Convert to fraction form
    13,930.50/20,876.10 = 7,693.32/x
  3. Step 3: Cross multiply
    13,930.50x = 20,876.10 × 7,693.32
  4. Step 4: Simplify right side
    13,930.50x = 160,606,413.27
  5. Step 5: Solve for x
    x = 160,606,413.27/13,930.50
  6. Step 6: Final answer
    x = 11,529.12

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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.