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Finding the Fourth Proportional to 16,516.37, 24,781.89 and 6,674.87

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Solution

The fourth proportional to 16,516.37, 24,781.89 and 6,674.87 is: 10,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.37 : 24,781.89 = 6,674.87 : x
  2. Step 2: Convert to fraction form
    16,516.37/24,781.89 = 6,674.87/x
  3. Step 3: Cross multiply
    16,516.37x = 24,781.89 × 6,674.87
  4. Step 4: Simplify right side
    16,516.37x = 165,415,894.10
  5. Step 5: Solve for x
    x = 165,415,894.10/16,516.37
  6. Step 6: Final answer
    x = 10,015.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.