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Finding the Fourth Proportional to 29,456.96, 40,651.68 and 16,884.16

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Solution

The fourth proportional to 29,456.96, 40,651.68 and 16,884.16 is: 23,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456.96 : 40,651.68 = 16,884.16 : x
  2. Step 2: Convert to fraction form
    29,456.96/40,651.68 = 16,884.16/x
  3. Step 3: Cross multiply
    29,456.96x = 40,651.68 × 16,884.16
  4. Step 4: Simplify right side
    29,456.96x = 686,369,469.39
  5. Step 5: Solve for x
    x = 686,369,469.39/29,456.96
  6. Step 6: Final answer
    x = 23,300.76

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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.