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Finding the Fourth Proportional to 13,772.96, 20,659.20 and 3,384.80

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Solution

The fourth proportional to 13,772.96, 20,659.20 and 3,384.80 is: 5,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.96 : 20,659.20 = 3,384.80 : x
  2. Step 2: Convert to fraction form
    13,772.96/20,659.20 = 3,384.80/x
  3. Step 3: Cross multiply
    13,772.96x = 20,659.20 × 3,384.80
  4. Step 4: Simplify right side
    13,772.96x = 69,927,260.16
  5. Step 5: Solve for x
    x = 69,927,260.16/13,772.96
  6. Step 6: Final answer
    x = 5,077.14

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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.