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Finding the Fourth Proportional to 13,800.38, 20,700.56 and 3,412.13

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Solution

The fourth proportional to 13,800.38, 20,700.56 and 3,412.13 is: 5,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.38 : 20,700.56 = 3,412.13 : x
  2. Step 2: Convert to fraction form
    13,800.38/20,700.56 = 3,412.13/x
  3. Step 3: Cross multiply
    13,800.38x = 20,700.56 × 3,412.13
  4. Step 4: Simplify right side
    13,800.38x = 70,632,906.82
  5. Step 5: Solve for x
    x = 70,632,906.82/13,800.38
  6. Step 6: Final answer
    x = 5,118.19

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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.