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Finding the Fourth Proportional to 15,295.73, 22,947.26 and 6,978.24

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Solution

The fourth proportional to 15,295.73, 22,947.26 and 6,978.24 is: 10,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295.73 : 22,947.26 = 6,978.24 : x
  2. Step 2: Convert to fraction form
    15,295.73/22,947.26 = 6,978.24/x
  3. Step 3: Cross multiply
    15,295.73x = 22,947.26 × 6,978.24
  4. Step 4: Simplify right side
    15,295.73x = 160,131,452.73
  5. Step 5: Solve for x
    x = 160,131,452.73/15,295.73
  6. Step 6: Final answer
    x = 10,469.03

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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.