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Finding the Fourth Proportional to 17,896.68, 26,842.86 and 9,137.88

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Solution

The fourth proportional to 17,896.68, 26,842.86 and 9,137.88 is: 13,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.68 : 26,842.86 = 9,137.88 : x
  2. Step 2: Convert to fraction form
    17,896.68/26,842.86 = 9,137.88/x
  3. Step 3: Cross multiply
    17,896.68x = 26,842.86 × 9,137.88
  4. Step 4: Simplify right side
    17,896.68x = 245,286,833.54
  5. Step 5: Solve for x
    x = 245,286,833.54/17,896.68
  6. Step 6: Final answer
    x = 13,705.72

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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.