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Finding the Fourth Proportional to 19,777.64, 27,284.46 and 11,815.88

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Solution

The fourth proportional to 19,777.64, 27,284.46 and 11,815.88 is: 16,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.64 : 27,284.46 = 11,815.88 : x
  2. Step 2: Convert to fraction form
    19,777.64/27,284.46 = 11,815.88/x
  3. Step 3: Cross multiply
    19,777.64x = 27,284.46 × 11,815.88
  4. Step 4: Simplify right side
    19,777.64x = 322,389,905.22
  5. Step 5: Solve for x
    x = 322,389,905.22/19,777.64
  6. Step 6: Final answer
    x = 16,300.73

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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.