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Finding the Fourth Proportional to 16,857.96, 23,269.40 and 9,783

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Solution

The fourth proportional to 16,857.96, 23,269.40 and 9,783 is: 13,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.96 : 23,269.40 = 9,783 : x
  2. Step 2: Convert to fraction form
    16,857.96/23,269.40 = 9,783/x
  3. Step 3: Cross multiply
    16,857.96x = 23,269.40 × 9,783
  4. Step 4: Simplify right side
    16,857.96x = 227,644,540.20
  5. Step 5: Solve for x
    x = 227,644,540.20/16,857.96
  6. Step 6: Final answer
    x = 13,503.68

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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.