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Finding the Fourth Proportional to 24,623.20, 36,921.76 and 10,756

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Solution

The fourth proportional to 24,623.20, 36,921.76 and 10,756 is: 16,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,623.20 : 36,921.76 = 10,756 : x
  2. Step 2: Convert to fraction form
    24,623.20/36,921.76 = 10,756/x
  3. Step 3: Cross multiply
    24,623.20x = 36,921.76 × 10,756
  4. Step 4: Simplify right side
    24,623.20x = 397,130,450.56
  5. Step 5: Solve for x
    x = 397,130,450.56/24,623.20
  6. Step 6: Final answer
    x = 16,128.30

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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.