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Finding the Fourth Proportional to 15,884, 23,826 and 10,881.44

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Solution

The fourth proportional to 15,884, 23,826 and 10,881.44 is: 16,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 23,826 = 10,881.44 : x
  2. Step 2: Convert to fraction form
    15,884/23,826 = 10,881.44/x
  3. Step 3: Cross multiply
    15,884x = 23,826 × 10,881.44
  4. Step 4: Simplify right side
    15,884x = 259,261,189.44
  5. Step 5: Solve for x
    x = 259,261,189.44/15,884
  6. Step 6: Final answer
    x = 16,322.16

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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.