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Finding the Fourth Proportional to 13,406.29, 18,502.90 and 7,439.87

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Solution

The fourth proportional to 13,406.29, 18,502.90 and 7,439.87 is: 10,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.29 : 18,502.90 = 7,439.87 : x
  2. Step 2: Convert to fraction form
    13,406.29/18,502.90 = 7,439.87/x
  3. Step 3: Cross multiply
    13,406.29x = 18,502.90 × 7,439.87
  4. Step 4: Simplify right side
    13,406.29x = 137,659,198.28
  5. Step 5: Solve for x
    x = 137,659,198.28/13,406.29
  6. Step 6: Final answer
    x = 10,268.26

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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.