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Finding the Fourth Proportional to 22,024.74, 33,028.65 and 7,980.63

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Solution

The fourth proportional to 22,024.74, 33,028.65 and 7,980.63 is: 11,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.74 : 33,028.65 = 7,980.63 : x
  2. Step 2: Convert to fraction form
    22,024.74/33,028.65 = 7,980.63/x
  3. Step 3: Cross multiply
    22,024.74x = 33,028.65 × 7,980.63
  4. Step 4: Simplify right side
    22,024.74x = 263,589,435.05
  5. Step 5: Solve for x
    x = 263,589,435.05/22,024.74
  6. Step 6: Final answer
    x = 11,967.88

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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.