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Finding the Fourth Proportional to 17,834.94, 26,737.80 and 6,735.30

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Solution

The fourth proportional to 17,834.94, 26,737.80 and 6,735.30 is: 10,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.94 : 26,737.80 = 6,735.30 : x
  2. Step 2: Convert to fraction form
    17,834.94/26,737.80 = 6,735.30/x
  3. Step 3: Cross multiply
    17,834.94x = 26,737.80 × 6,735.30
  4. Step 4: Simplify right side
    17,834.94x = 180,087,104.34
  5. Step 5: Solve for x
    x = 180,087,104.34/17,834.94
  6. Step 6: Final answer
    x = 10,097.43

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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.