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Finding the Fourth Proportional to 16,682, 25,023.84 and 4,995.32

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Solution

The fourth proportional to 16,682, 25,023.84 and 4,995.32 is: 7,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682 : 25,023.84 = 4,995.32 : x
  2. Step 2: Convert to fraction form
    16,682/25,023.84 = 4,995.32/x
  3. Step 3: Cross multiply
    16,682x = 25,023.84 × 4,995.32
  4. Step 4: Simplify right side
    16,682x = 125,002,088.43
  5. Step 5: Solve for x
    x = 125,002,088.43/16,682
  6. Step 6: Final answer
    x = 7,493.23

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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.