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Finding the Fourth Proportional to 16,268.31, 24,399.63 and 6,410.34

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Solution

The fourth proportional to 16,268.31, 24,399.63 and 6,410.34 is: 9,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.31 : 24,399.63 = 6,410.34 : x
  2. Step 2: Convert to fraction form
    16,268.31/24,399.63 = 6,410.34/x
  3. Step 3: Cross multiply
    16,268.31x = 24,399.63 × 6,410.34
  4. Step 4: Simplify right side
    16,268.31x = 156,409,924.17
  5. Step 5: Solve for x
    x = 156,409,924.17/16,268.31
  6. Step 6: Final answer
    x = 9,614.39

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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.