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Finding the Fourth Proportional to 13,756.71, 18,941.75 and 10,744

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Solution

The fourth proportional to 13,756.71, 18,941.75 and 10,744 is: 14,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.71 : 18,941.75 = 10,744 : x
  2. Step 2: Convert to fraction form
    13,756.71/18,941.75 = 10,744/x
  3. Step 3: Cross multiply
    13,756.71x = 18,941.75 × 10,744
  4. Step 4: Simplify right side
    13,756.71x = 203,510,162
  5. Step 5: Solve for x
    x = 203,510,162/13,756.71
  6. Step 6: Final answer
    x = 14,793.52

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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.