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Finding the Fourth Proportional to 20,273.96, 30,415.68 and 6,947.10

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Solution

The fourth proportional to 20,273.96, 30,415.68 and 6,947.10 is: 10,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.96 : 30,415.68 = 6,947.10 : x
  2. Step 2: Convert to fraction form
    20,273.96/30,415.68 = 6,947.10/x
  3. Step 3: Cross multiply
    20,273.96x = 30,415.68 × 6,947.10
  4. Step 4: Simplify right side
    20,273.96x = 211,300,583.71
  5. Step 5: Solve for x
    x = 211,300,583.71/20,273.96
  6. Step 6: Final answer
    x = 10,422.27

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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.