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Finding the Fourth Proportional to 20,214.36, 30,355.62 and 13,206.36

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Solution

The fourth proportional to 20,214.36, 30,355.62 and 13,206.36 is: 19,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.36 : 30,355.62 = 13,206.36 : x
  2. Step 2: Convert to fraction form
    20,214.36/30,355.62 = 13,206.36/x
  3. Step 3: Cross multiply
    20,214.36x = 30,355.62 × 13,206.36
  4. Step 4: Simplify right side
    20,214.36x = 400,887,245.74
  5. Step 5: Solve for x
    x = 400,887,245.74/20,214.36
  6. Step 6: Final answer
    x = 19,831.81

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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.