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Finding the Fourth Proportional to 13,674.81, 18,871.25 and 7,387.19

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Solution

The fourth proportional to 13,674.81, 18,871.25 and 7,387.19 is: 10,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.81 : 18,871.25 = 7,387.19 : x
  2. Step 2: Convert to fraction form
    13,674.81/18,871.25 = 7,387.19/x
  3. Step 3: Cross multiply
    13,674.81x = 18,871.25 × 7,387.19
  4. Step 4: Simplify right side
    13,674.81x = 139,405,509.29
  5. Step 5: Solve for x
    x = 139,405,509.29/13,674.81
  6. Step 6: Final answer
    x = 10,194.33

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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.