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Finding the Fourth Proportional to 20,112.70, 30,172.65 and 8,427.10

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Solution

The fourth proportional to 20,112.70, 30,172.65 and 8,427.10 is: 12,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.70 : 30,172.65 = 8,427.10 : x
  2. Step 2: Convert to fraction form
    20,112.70/30,172.65 = 8,427.10/x
  3. Step 3: Cross multiply
    20,112.70x = 30,172.65 × 8,427.10
  4. Step 4: Simplify right side
    20,112.70x = 254,267,938.82
  5. Step 5: Solve for x
    x = 254,267,938.82/20,112.70
  6. Step 6: Final answer
    x = 12,642.16

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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.