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Finding the Fourth Proportional to 13,423.36, 20,133.60 and 8,220.16

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Solution

The fourth proportional to 13,423.36, 20,133.60 and 8,220.16 is: 12,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.36 : 20,133.60 = 8,220.16 : x
  2. Step 2: Convert to fraction form
    13,423.36/20,133.60 = 8,220.16/x
  3. Step 3: Cross multiply
    13,423.36x = 20,133.60 × 8,220.16
  4. Step 4: Simplify right side
    13,423.36x = 165,501,413.38
  5. Step 5: Solve for x
    x = 165,501,413.38/13,423.36
  6. Step 6: Final answer
    x = 12,329.36

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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.