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Finding the Fourth Proportional to 20,283.48, 27,994.37 and 12,322.80

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Solution

The fourth proportional to 20,283.48, 27,994.37 and 12,322.80 is: 17,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.48 : 27,994.37 = 12,322.80 : x
  2. Step 2: Convert to fraction form
    20,283.48/27,994.37 = 12,322.80/x
  3. Step 3: Cross multiply
    20,283.48x = 27,994.37 × 12,322.80
  4. Step 4: Simplify right side
    20,283.48x = 344,968,961.02
  5. Step 5: Solve for x
    x = 344,968,961.02/20,283.48
  6. Step 6: Final answer
    x = 17,007.39

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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.