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Finding the Fourth Proportional to 16,546.05, 24,783.44 and 7,767.81

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Solution

The fourth proportional to 16,546.05, 24,783.44 and 7,767.81 is: 11,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.05 : 24,783.44 = 7,767.81 : x
  2. Step 2: Convert to fraction form
    16,546.05/24,783.44 = 7,767.81/x
  3. Step 3: Cross multiply
    16,546.05x = 24,783.44 × 7,767.81
  4. Step 4: Simplify right side
    16,546.05x = 192,513,014.23
  5. Step 5: Solve for x
    x = 192,513,014.23/16,546.05
  6. Step 6: Final answer
    x = 11,634.98

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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.