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Finding the Fourth Proportional to 13,384.80, 20,048.40 and 7,221.60

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Solution

The fourth proportional to 13,384.80, 20,048.40 and 7,221.60 is: 10,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.80 : 20,048.40 = 7,221.60 : x
  2. Step 2: Convert to fraction form
    13,384.80/20,048.40 = 7,221.60/x
  3. Step 3: Cross multiply
    13,384.80x = 20,048.40 × 7,221.60
  4. Step 4: Simplify right side
    13,384.80x = 144,781,525.44
  5. Step 5: Solve for x
    x = 144,781,525.44/13,384.80
  6. Step 6: Final answer
    x = 10,816.86

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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.