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Finding the Fourth Proportional to 16,949, 23,389.22 and 9,874.98

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Solution

The fourth proportional to 16,949, 23,389.22 and 9,874.98 is: 13,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949 : 23,389.22 = 9,874.98 : x
  2. Step 2: Convert to fraction form
    16,949/23,389.22 = 9,874.98/x
  3. Step 3: Cross multiply
    16,949x = 23,389.22 × 9,874.98
  4. Step 4: Simplify right side
    16,949x = 230,968,079.72
  5. Step 5: Solve for x
    x = 230,968,079.72/16,949
  6. Step 6: Final answer
    x = 13,627.24

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