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Finding the Fourth Proportional to 13,770.04, 20,634.04 and 10,243

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Solution

The fourth proportional to 13,770.04, 20,634.04 and 10,243 is: 15,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.04 : 20,634.04 = 10,243 : x
  2. Step 2: Convert to fraction form
    13,770.04/20,634.04 = 10,243/x
  3. Step 3: Cross multiply
    13,770.04x = 20,634.04 × 10,243
  4. Step 4: Simplify right side
    13,770.04x = 211,354,471.72
  5. Step 5: Solve for x
    x = 211,354,471.72/13,770.04
  6. Step 6: Final answer
    x = 15,348.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.