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Finding the Fourth Proportional to 19,576.25, 27,037.65 and 12,891.75

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Solution

The fourth proportional to 19,576.25, 27,037.65 and 12,891.75 is: 17,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.25 : 27,037.65 = 12,891.75 : x
  2. Step 2: Convert to fraction form
    19,576.25/27,037.65 = 12,891.75/x
  3. Step 3: Cross multiply
    19,576.25x = 27,037.65 × 12,891.75
  4. Step 4: Simplify right side
    19,576.25x = 348,562,624.39
  5. Step 5: Solve for x
    x = 348,562,624.39/19,576.25
  6. Step 6: Final answer
    x = 17,805.38

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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.