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Finding the Fourth Proportional to 13,546.15, 20,300.77 and 8,283

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Solution

The fourth proportional to 13,546.15, 20,300.77 and 8,283 is: 12,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.15 : 20,300.77 = 8,283 : x
  2. Step 2: Convert to fraction form
    13,546.15/20,300.77 = 8,283/x
  3. Step 3: Cross multiply
    13,546.15x = 20,300.77 × 8,283
  4. Step 4: Simplify right side
    13,546.15x = 168,151,277.91
  5. Step 5: Solve for x
    x = 168,151,277.91/13,546.15
  6. Step 6: Final answer
    x = 12,413.22

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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.