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Finding the Fourth Proportional to 16,499.68, 24,757.72 and 7,735.28

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Solution

The fourth proportional to 16,499.68, 24,757.72 and 7,735.28 is: 11,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.68 : 24,757.72 = 7,735.28 : x
  2. Step 2: Convert to fraction form
    16,499.68/24,757.72 = 7,735.28/x
  3. Step 3: Cross multiply
    16,499.68x = 24,757.72 × 7,735.28
  4. Step 4: Simplify right side
    16,499.68x = 191,507,896.36
  5. Step 5: Solve for x
    x = 191,507,896.36/16,499.68
  6. Step 6: Final answer
    x = 11,606.76

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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.