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Finding the Fourth Proportional to 13,692.96, 18,887.76 and 8,100

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Solution

The fourth proportional to 13,692.96, 18,887.76 and 8,100 is: 11,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.96 : 18,887.76 = 8,100 : x
  2. Step 2: Convert to fraction form
    13,692.96/18,887.76 = 8,100/x
  3. Step 3: Cross multiply
    13,692.96x = 18,887.76 × 8,100
  4. Step 4: Simplify right side
    13,692.96x = 152,990,856
  5. Step 5: Solve for x
    x = 152,990,856/13,692.96
  6. Step 6: Final answer
    x = 11,172.96

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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.