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Finding the Fourth Proportional to 13,407.75, 18,502.37 and 7,439.27

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Solution

The fourth proportional to 13,407.75, 18,502.37 and 7,439.27 is: 10,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.75 : 18,502.37 = 7,439.27 : x
  2. Step 2: Convert to fraction form
    13,407.75/18,502.37 = 7,439.27/x
  3. Step 3: Cross multiply
    13,407.75x = 18,502.37 × 7,439.27
  4. Step 4: Simplify right side
    13,407.75x = 137,643,996.36
  5. Step 5: Solve for x
    x = 137,643,996.36/13,407.75
  6. Step 6: Final answer
    x = 10,266.00

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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.