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Finding the Fourth Proportional to 16,418.10, 24,627.69 and 5,324.88

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Solution

The fourth proportional to 16,418.10, 24,627.69 and 5,324.88 is: 7,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418.10 : 24,627.69 = 5,324.88 : x
  2. Step 2: Convert to fraction form
    16,418.10/24,627.69 = 5,324.88/x
  3. Step 3: Cross multiply
    16,418.10x = 24,627.69 × 5,324.88
  4. Step 4: Simplify right side
    16,418.10x = 131,139,493.93
  5. Step 5: Solve for x
    x = 131,139,493.93/16,418.10
  6. Step 6: Final answer
    x = 7,987.50

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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.