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Finding the Fourth Proportional to 17,834.30, 26,751.76 and 6,746.21

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Solution

The fourth proportional to 17,834.30, 26,751.76 and 6,746.21 is: 10,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.30 : 26,751.76 = 6,746.21 : x
  2. Step 2: Convert to fraction form
    17,834.30/26,751.76 = 6,746.21/x
  3. Step 3: Cross multiply
    17,834.30x = 26,751.76 × 6,746.21
  4. Step 4: Simplify right side
    17,834.30x = 180,473,040.84
  5. Step 5: Solve for x
    x = 180,473,040.84/17,834.30
  6. Step 6: Final answer
    x = 10,119.43

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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.