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Finding the Fourth Proportional to 12,866.28, 19,305.64 and 7,022.73

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Solution

The fourth proportional to 12,866.28, 19,305.64 and 7,022.73 is: 10,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.28 : 19,305.64 = 7,022.73 : x
  2. Step 2: Convert to fraction form
    12,866.28/19,305.64 = 7,022.73/x
  3. Step 3: Cross multiply
    12,866.28x = 19,305.64 × 7,022.73
  4. Step 4: Simplify right side
    12,866.28x = 135,578,378.37
  5. Step 5: Solve for x
    x = 135,578,378.37/12,866.28
  6. Step 6: Final answer
    x = 10,537.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.