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Finding the Fourth Proportional to 15,872.86, 23,821.23 and 10,863.23

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Solution

The fourth proportional to 15,872.86, 23,821.23 and 10,863.23 is: 16,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.86 : 23,821.23 = 10,863.23 : x
  2. Step 2: Convert to fraction form
    15,872.86/23,821.23 = 10,863.23/x
  3. Step 3: Cross multiply
    15,872.86x = 23,821.23 × 10,863.23
  4. Step 4: Simplify right side
    15,872.86x = 258,775,500.37
  5. Step 5: Solve for x
    x = 258,775,500.37/15,872.86
  6. Step 6: Final answer
    x = 16,303.02

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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.