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Finding the Fourth Proportional to 21,772.62, 30,046.56 and 12,214.64

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Solution

The fourth proportional to 21,772.62, 30,046.56 and 12,214.64 is: 16,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.62 : 30,046.56 = 12,214.64 : x
  2. Step 2: Convert to fraction form
    21,772.62/30,046.56 = 12,214.64/x
  3. Step 3: Cross multiply
    21,772.62x = 30,046.56 × 12,214.64
  4. Step 4: Simplify right side
    21,772.62x = 367,007,763.41
  5. Step 5: Solve for x
    x = 367,007,763.41/21,772.62
  6. Step 6: Final answer
    x = 16,856.39

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Why These Related Problems?

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