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Finding the Fourth Proportional to 13,692.92, 18,896.50 and 8,032

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Solution

The fourth proportional to 13,692.92, 18,896.50 and 8,032 is: 11,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.92 : 18,896.50 = 8,032 : x
  2. Step 2: Convert to fraction form
    13,692.92/18,896.50 = 8,032/x
  3. Step 3: Cross multiply
    13,692.92x = 18,896.50 × 8,032
  4. Step 4: Simplify right side
    13,692.92x = 151,776,688
  5. Step 5: Solve for x
    x = 151,776,688/13,692.92
  6. Step 6: Final answer
    x = 11,084.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.