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Finding the Fourth Proportional to 20,208.80, 30,313.20 and 11,460.80

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Solution

The fourth proportional to 20,208.80, 30,313.20 and 11,460.80 is: 17,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.80 : 30,313.20 = 11,460.80 : x
  2. Step 2: Convert to fraction form
    20,208.80/30,313.20 = 11,460.80/x
  3. Step 3: Cross multiply
    20,208.80x = 30,313.20 × 11,460.80
  4. Step 4: Simplify right side
    20,208.80x = 347,413,522.56
  5. Step 5: Solve for x
    x = 347,413,522.56/20,208.80
  6. Step 6: Final answer
    x = 17,191.20

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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.