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Finding the Fourth Proportional to 22,966, 34,453.87 and 7,384.84

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Solution

The fourth proportional to 22,966, 34,453.87 and 7,384.84 is: 11,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966 : 34,453.87 = 7,384.84 : x
  2. Step 2: Convert to fraction form
    22,966/34,453.87 = 7,384.84/x
  3. Step 3: Cross multiply
    22,966x = 34,453.87 × 7,384.84
  4. Step 4: Simplify right side
    22,966x = 254,436,317.33
  5. Step 5: Solve for x
    x = 254,436,317.33/22,966
  6. Step 6: Final answer
    x = 11,078.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.