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Finding the Fourth Proportional to 13,552, 20,329.08 and 3,692.08

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Solution

The fourth proportional to 13,552, 20,329.08 and 3,692.08 is: 5,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552 : 20,329.08 = 3,692.08 : x
  2. Step 2: Convert to fraction form
    13,552/20,329.08 = 3,692.08/x
  3. Step 3: Cross multiply
    13,552x = 20,329.08 × 3,692.08
  4. Step 4: Simplify right side
    13,552x = 75,056,589.69
  5. Step 5: Solve for x
    x = 75,056,589.69/13,552
  6. Step 6: Final answer
    x = 5,538.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.