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Finding the Fourth Proportional to 19,738.64, 27,239.86 and 10,786.64

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Solution

The fourth proportional to 19,738.64, 27,239.86 and 10,786.64 is: 14,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.64 : 27,239.86 = 10,786.64 : x
  2. Step 2: Convert to fraction form
    19,738.64/27,239.86 = 10,786.64/x
  3. Step 3: Cross multiply
    19,738.64x = 27,239.86 × 10,786.64
  4. Step 4: Simplify right side
    19,738.64x = 293,826,563.47
  5. Step 5: Solve for x
    x = 293,826,563.47/19,738.64
  6. Step 6: Final answer
    x = 14,885.86

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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.