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Finding the Fourth Proportional to 22,621.87, 33,920.47 and 7,829.56

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Solution

The fourth proportional to 22,621.87, 33,920.47 and 7,829.56 is: 11,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,621.87 : 33,920.47 = 7,829.56 : x
  2. Step 2: Convert to fraction form
    22,621.87/33,920.47 = 7,829.56/x
  3. Step 3: Cross multiply
    22,621.87x = 33,920.47 × 7,829.56
  4. Step 4: Simplify right side
    22,621.87x = 265,582,355.09
  5. Step 5: Solve for x
    x = 265,582,355.09/22,621.87
  6. Step 6: Final answer
    x = 11,740.07

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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.