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Finding the Fourth Proportional to 13,200.80, 19,801.04 and 3,205.63

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Solution

The fourth proportional to 13,200.80, 19,801.04 and 3,205.63 is: 4,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.80 : 19,801.04 = 3,205.63 : x
  2. Step 2: Convert to fraction form
    13,200.80/19,801.04 = 3,205.63/x
  3. Step 3: Cross multiply
    13,200.80x = 19,801.04 × 3,205.63
  4. Step 4: Simplify right side
    13,200.80x = 63,474,807.86
  5. Step 5: Solve for x
    x = 63,474,807.86/13,200.80
  6. Step 6: Final answer
    x = 4,808.41

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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.