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Finding the Fourth Proportional to 16,830.99, 23,245.38 and 13,099.32

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Solution

The fourth proportional to 16,830.99, 23,245.38 and 13,099.32 is: 18,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.99 : 23,245.38 = 13,099.32 : x
  2. Step 2: Convert to fraction form
    16,830.99/23,245.38 = 13,099.32/x
  3. Step 3: Cross multiply
    16,830.99x = 23,245.38 × 13,099.32
  4. Step 4: Simplify right side
    16,830.99x = 304,498,671.14
  5. Step 5: Solve for x
    x = 304,498,671.14/16,830.99
  6. Step 6: Final answer
    x = 18,091.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.