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Finding the Fourth Proportional to 13,749.14, 20,602.15 and 10,034.28

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Solution

The fourth proportional to 13,749.14, 20,602.15 and 10,034.28 is: 15,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.14 : 20,602.15 = 10,034.28 : x
  2. Step 2: Convert to fraction form
    13,749.14/20,602.15 = 10,034.28/x
  3. Step 3: Cross multiply
    13,749.14x = 20,602.15 × 10,034.28
  4. Step 4: Simplify right side
    13,749.14x = 206,727,716.62
  5. Step 5: Solve for x
    x = 206,727,716.62/13,749.14
  6. Step 6: Final answer
    x = 15,035.68

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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.