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Finding the Fourth Proportional to 15,243.36, 22,865.94 and 5,883.44

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Solution

The fourth proportional to 15,243.36, 22,865.94 and 5,883.44 is: 8,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.36 : 22,865.94 = 5,883.44 : x
  2. Step 2: Convert to fraction form
    15,243.36/22,865.94 = 5,883.44/x
  3. Step 3: Cross multiply
    15,243.36x = 22,865.94 × 5,883.44
  4. Step 4: Simplify right side
    15,243.36x = 134,530,271.70
  5. Step 5: Solve for x
    x = 134,530,271.70/15,243.36
  6. Step 6: Final answer
    x = 8,825.50

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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.