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Finding the Fourth Proportional to 20,385.20, 30,577.80 and 18,441.20

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Solution

The fourth proportional to 20,385.20, 30,577.80 and 18,441.20 is: 27,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385.20 : 30,577.80 = 18,441.20 : x
  2. Step 2: Convert to fraction form
    20,385.20/30,577.80 = 18,441.20/x
  3. Step 3: Cross multiply
    20,385.20x = 30,577.80 × 18,441.20
  4. Step 4: Simplify right side
    20,385.20x = 563,891,325.36
  5. Step 5: Solve for x
    x = 563,891,325.36/20,385.20
  6. Step 6: Final answer
    x = 27,661.80

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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.