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Finding the Fourth Proportional to 20,172.31, 30,263.02 and 6,844.57

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Solution

The fourth proportional to 20,172.31, 30,263.02 and 6,844.57 is: 10,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.31 : 30,263.02 = 6,844.57 : x
  2. Step 2: Convert to fraction form
    20,172.31/30,263.02 = 6,844.57/x
  3. Step 3: Cross multiply
    20,172.31x = 30,263.02 × 6,844.57
  4. Step 4: Simplify right side
    20,172.31x = 207,137,266.03
  5. Step 5: Solve for x
    x = 207,137,266.03/20,172.31
  6. Step 6: Final answer
    x = 10,268.40

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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.