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Finding the Fourth Proportional to 20,126.40, 30,194.40 and 10,267.20

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Solution

The fourth proportional to 20,126.40, 30,194.40 and 10,267.20 is: 15,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.40 : 30,194.40 = 10,267.20 : x
  2. Step 2: Convert to fraction form
    20,126.40/30,194.40 = 10,267.20/x
  3. Step 3: Cross multiply
    20,126.40x = 30,194.40 × 10,267.20
  4. Step 4: Simplify right side
    20,126.40x = 310,011,943.68
  5. Step 5: Solve for x
    x = 310,011,943.68/20,126.40
  6. Step 6: Final answer
    x = 15,403.25

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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.