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Finding the Fourth Proportional to 16,684, 25,026.84 and 4,997.32

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Solution

The fourth proportional to 16,684, 25,026.84 and 4,997.32 is: 7,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684 : 25,026.84 = 4,997.32 : x
  2. Step 2: Convert to fraction form
    16,684/25,026.84 = 4,997.32/x
  3. Step 3: Cross multiply
    16,684x = 25,026.84 × 4,997.32
  4. Step 4: Simplify right side
    16,684x = 125,067,128.07
  5. Step 5: Solve for x
    x = 125,067,128.07/16,684
  6. Step 6: Final answer
    x = 7,496.23

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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.