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Finding the Fourth Proportional to 16,334.08, 24,512 and 10,494.88

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Solution

The fourth proportional to 16,334.08, 24,512 and 10,494.88 is: 15,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.08 : 24,512 = 10,494.88 : x
  2. Step 2: Convert to fraction form
    16,334.08/24,512 = 10,494.88/x
  3. Step 3: Cross multiply
    16,334.08x = 24,512 × 10,494.88
  4. Step 4: Simplify right side
    16,334.08x = 257,250,498.56
  5. Step 5: Solve for x
    x = 257,250,498.56/16,334.08
  6. Step 6: Final answer
    x = 15,749.31

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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.