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Finding the Fourth Proportional to 13,674.74, 18,871.15 and 7,387.11

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Solution

The fourth proportional to 13,674.74, 18,871.15 and 7,387.11 is: 10,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.74 : 18,871.15 = 7,387.11 : x
  2. Step 2: Convert to fraction form
    13,674.74/18,871.15 = 7,387.11/x
  3. Step 3: Cross multiply
    13,674.74x = 18,871.15 × 7,387.11
  4. Step 4: Simplify right side
    13,674.74x = 139,403,260.88
  5. Step 5: Solve for x
    x = 139,403,260.88/13,674.74
  6. Step 6: Final answer
    x = 10,194.22

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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.