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Finding the Fourth Proportional to 16,889.48, 23,310.36 and 9,820

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Solution

The fourth proportional to 16,889.48, 23,310.36 and 9,820 is: 13,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889.48 : 23,310.36 = 9,820 : x
  2. Step 2: Convert to fraction form
    16,889.48/23,310.36 = 9,820/x
  3. Step 3: Cross multiply
    16,889.48x = 23,310.36 × 9,820
  4. Step 4: Simplify right side
    16,889.48x = 228,907,735.20
  5. Step 5: Solve for x
    x = 228,907,735.20/16,889.48
  6. Step 6: Final answer
    x = 13,553.27

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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.