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Finding the Fourth Proportional to 28,114.31, 38,744.37 and 20,142.69

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Solution

The fourth proportional to 28,114.31, 38,744.37 and 20,142.69 is: 27,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.31 : 38,744.37 = 20,142.69 : x
  2. Step 2: Convert to fraction form
    28,114.31/38,744.37 = 20,142.69/x
  3. Step 3: Cross multiply
    28,114.31x = 38,744.37 × 20,142.69
  4. Step 4: Simplify right side
    28,114.31x = 780,415,834.16
  5. Step 5: Solve for x
    x = 780,415,834.16/28,114.31
  6. Step 6: Final answer
    x = 27,758.67

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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.