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Finding the Fourth Proportional to 19,692.63, 29,538.94 and 5,100.63

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Solution

The fourth proportional to 19,692.63, 29,538.94 and 5,100.63 is: 7,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.63 : 29,538.94 = 5,100.63 : x
  2. Step 2: Convert to fraction form
    19,692.63/29,538.94 = 5,100.63/x
  3. Step 3: Cross multiply
    19,692.63x = 29,538.94 × 5,100.63
  4. Step 4: Simplify right side
    19,692.63x = 150,667,043.09
  5. Step 5: Solve for x
    x = 150,667,043.09/19,692.63
  6. Step 6: Final answer
    x = 7,650.94

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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.