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Finding the Fourth Proportional to 15,456.52, 23,183.84 and 7,556

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Solution

The fourth proportional to 15,456.52, 23,183.84 and 7,556 is: 11,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.52 : 23,183.84 = 7,556 : x
  2. Step 2: Convert to fraction form
    15,456.52/23,183.84 = 7,556/x
  3. Step 3: Cross multiply
    15,456.52x = 23,183.84 × 7,556
  4. Step 4: Simplify right side
    15,456.52x = 175,177,095.04
  5. Step 5: Solve for x
    x = 175,177,095.04/15,456.52
  6. Step 6: Final answer
    x = 11,333.54

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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.