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Finding the Fourth Proportional to 17,838.69, 26,743.46 and 6,739.07

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Solution

The fourth proportional to 17,838.69, 26,743.46 and 6,739.07 is: 10,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.69 : 26,743.46 = 6,739.07 : x
  2. Step 2: Convert to fraction form
    17,838.69/26,743.46 = 6,739.07/x
  3. Step 3: Cross multiply
    17,838.69x = 26,743.46 × 6,739.07
  4. Step 4: Simplify right side
    17,838.69x = 180,225,881.57
  5. Step 5: Solve for x
    x = 180,225,881.57/17,838.69
  6. Step 6: Final answer
    x = 10,103.09

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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.