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Finding the Fourth Proportional to 13,771.76, 20,658.04 and 3,383.52

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Solution

The fourth proportional to 13,771.76, 20,658.04 and 3,383.52 is: 5,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.76 : 20,658.04 = 3,383.52 : x
  2. Step 2: Convert to fraction form
    13,771.76/20,658.04 = 3,383.52/x
  3. Step 3: Cross multiply
    13,771.76x = 20,658.04 × 3,383.52
  4. Step 4: Simplify right side
    13,771.76x = 69,896,891.50
  5. Step 5: Solve for x
    x = 69,896,891.50/13,771.76
  6. Step 6: Final answer
    x = 5,075.38

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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.