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Finding the Fourth Proportional to 22,330.64, 30,815.72 and 12,394

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Solution

The fourth proportional to 22,330.64, 30,815.72 and 12,394 is: 17,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330.64 : 30,815.72 = 12,394 : x
  2. Step 2: Convert to fraction form
    22,330.64/30,815.72 = 12,394/x
  3. Step 3: Cross multiply
    22,330.64x = 30,815.72 × 12,394
  4. Step 4: Simplify right side
    22,330.64x = 381,930,033.68
  5. Step 5: Solve for x
    x = 381,930,033.68/22,330.64
  6. Step 6: Final answer
    x = 17,103.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.