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Finding the Fourth Proportional to 20,424.84, 30,639.87 and 7,278.54

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Solution

The fourth proportional to 20,424.84, 30,639.87 and 7,278.54 is: 10,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.84 : 30,639.87 = 7,278.54 : x
  2. Step 2: Convert to fraction form
    20,424.84/30,639.87 = 7,278.54/x
  3. Step 3: Cross multiply
    20,424.84x = 30,639.87 × 7,278.54
  4. Step 4: Simplify right side
    20,424.84x = 223,013,519.39
  5. Step 5: Solve for x
    x = 223,013,519.39/20,424.84
  6. Step 6: Final answer
    x = 10,918.74

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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.