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Finding the Fourth Proportional to 15,833.44, 23,743.24 and 7,515.84

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Solution

The fourth proportional to 15,833.44, 23,743.24 and 7,515.84 is: 11,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.44 : 23,743.24 = 7,515.84 : x
  2. Step 2: Convert to fraction form
    15,833.44/23,743.24 = 7,515.84/x
  3. Step 3: Cross multiply
    15,833.44x = 23,743.24 × 7,515.84
  4. Step 4: Simplify right side
    15,833.44x = 178,450,392.92
  5. Step 5: Solve for x
    x = 178,450,392.92/15,833.44
  6. Step 6: Final answer
    x = 11,270.48

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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.