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Finding the Fourth Proportional to 15,834.26, 23,745.44 and 6,469.29

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Solution

The fourth proportional to 15,834.26, 23,745.44 and 6,469.29 is: 9,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.26 : 23,745.44 = 6,469.29 : x
  2. Step 2: Convert to fraction form
    15,834.26/23,745.44 = 6,469.29/x
  3. Step 3: Cross multiply
    15,834.26x = 23,745.44 × 6,469.29
  4. Step 4: Simplify right side
    15,834.26x = 153,616,153.71
  5. Step 5: Solve for x
    x = 153,616,153.71/15,834.26
  6. Step 6: Final answer
    x = 9,701.50

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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.