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Finding the Fourth Proportional to 13,128.50, 19,692.75 and 3,400.50

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Solution

The fourth proportional to 13,128.50, 19,692.75 and 3,400.50 is: 5,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.50 : 19,692.75 = 3,400.50 : x
  2. Step 2: Convert to fraction form
    13,128.50/19,692.75 = 3,400.50/x
  3. Step 3: Cross multiply
    13,128.50x = 19,692.75 × 3,400.50
  4. Step 4: Simplify right side
    13,128.50x = 66,965,196.38
  5. Step 5: Solve for x
    x = 66,965,196.38/13,128.50
  6. Step 6: Final answer
    x = 5,100.75

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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.