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Finding the Fourth Proportional to 17,833.69, 26,735.94 and 6,734.08

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Solution

The fourth proportional to 17,833.69, 26,735.94 and 6,734.08 is: 10,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.69 : 26,735.94 = 6,734.08 : x
  2. Step 2: Convert to fraction form
    17,833.69/26,735.94 = 6,734.08/x
  3. Step 3: Cross multiply
    17,833.69x = 26,735.94 × 6,734.08
  4. Step 4: Simplify right side
    17,833.69x = 180,041,958.84
  5. Step 5: Solve for x
    x = 180,041,958.84/17,833.69
  6. Step 6: Final answer
    x = 10,095.61

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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.