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Finding the Fourth Proportional to 20,271.21, 30,406.81 and 6,419.13

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Solution

The fourth proportional to 20,271.21, 30,406.81 and 6,419.13 is: 9,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.21 : 30,406.81 = 6,419.13 : x
  2. Step 2: Convert to fraction form
    20,271.21/30,406.81 = 6,419.13/x
  3. Step 3: Cross multiply
    20,271.21x = 30,406.81 × 6,419.13
  4. Step 4: Simplify right side
    20,271.21x = 195,185,266.28
  5. Step 5: Solve for x
    x = 195,185,266.28/20,271.21
  6. Step 6: Final answer
    x = 9,628.69

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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.