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Finding the Fourth Proportional to 17,834.19, 26,736.69 and 6,734.58

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Solution

The fourth proportional to 17,834.19, 26,736.69 and 6,734.58 is: 10,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.19 : 26,736.69 = 6,734.58 : x
  2. Step 2: Convert to fraction form
    17,834.19/26,736.69 = 6,734.58/x
  3. Step 3: Cross multiply
    17,834.19x = 26,736.69 × 6,734.58
  4. Step 4: Simplify right side
    17,834.19x = 180,060,377.74
  5. Step 5: Solve for x
    x = 180,060,377.74/17,834.19
  6. Step 6: Final answer
    x = 10,096.36

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