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Finding the Fourth Proportional to 20,271.60, 27,969.86 and 11,886.48

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Solution

The fourth proportional to 20,271.60, 27,969.86 and 11,886.48 is: 16,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.60 : 27,969.86 = 11,886.48 : x
  2. Step 2: Convert to fraction form
    20,271.60/27,969.86 = 11,886.48/x
  3. Step 3: Cross multiply
    20,271.60x = 27,969.86 × 11,886.48
  4. Step 4: Simplify right side
    20,271.60x = 332,463,181.49
  5. Step 5: Solve for x
    x = 332,463,181.49/20,271.60
  6. Step 6: Final answer
    x = 16,400.44

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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.