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Finding the Fourth Proportional to 13,533.80, 20,295.32 and 5,209.20

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Solution

The fourth proportional to 13,533.80, 20,295.32 and 5,209.20 is: 7,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.80 : 20,295.32 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    13,533.80/20,295.32 = 5,209.20/x
  3. Step 3: Cross multiply
    13,533.80x = 20,295.32 × 5,209.20
  4. Step 4: Simplify right side
    13,533.80x = 105,722,354.90
  5. Step 5: Solve for x
    x = 105,722,354.90/13,533.80
  6. Step 6: Final answer
    x = 7,811.73

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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.