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Finding the Fourth Proportional to 24,563.20, 36,844.80 and 11,441.20

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Solution

The fourth proportional to 24,563.20, 36,844.80 and 11,441.20 is: 17,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.20 : 36,844.80 = 11,441.20 : x
  2. Step 2: Convert to fraction form
    24,563.20/36,844.80 = 11,441.20/x
  3. Step 3: Cross multiply
    24,563.20x = 36,844.80 × 11,441.20
  4. Step 4: Simplify right side
    24,563.20x = 421,548,725.76
  5. Step 5: Solve for x
    x = 421,548,725.76/24,563.20
  6. Step 6: Final answer
    x = 17,161.80

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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.