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Finding the Fourth Proportional to 20,173.20, 30,259.80 and 6,133.20

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Solution

The fourth proportional to 20,173.20, 30,259.80 and 6,133.20 is: 9,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.20 : 30,259.80 = 6,133.20 : x
  2. Step 2: Convert to fraction form
    20,173.20/30,259.80 = 6,133.20/x
  3. Step 3: Cross multiply
    20,173.20x = 30,259.80 × 6,133.20
  4. Step 4: Simplify right side
    20,173.20x = 185,589,405.36
  5. Step 5: Solve for x
    x = 185,589,405.36/20,173.20
  6. Step 6: Final answer
    x = 9,199.80

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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.