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Finding the Fourth Proportional to 13,477.36, 20,223.06 and 10,189.48

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Solution

The fourth proportional to 13,477.36, 20,223.06 and 10,189.48 is: 15,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.36 : 20,223.06 = 10,189.48 : x
  2. Step 2: Convert to fraction form
    13,477.36/20,223.06 = 10,189.48/x
  3. Step 3: Cross multiply
    13,477.36x = 20,223.06 × 10,189.48
  4. Step 4: Simplify right side
    13,477.36x = 206,062,465.41
  5. Step 5: Solve for x
    x = 206,062,465.41/13,477.36
  6. Step 6: Final answer
    x = 15,289.53

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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.