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Finding the Fourth Proportional to 13,920.20, 20,852.45 and 8,370.48

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Solution

The fourth proportional to 13,920.20, 20,852.45 and 8,370.48 is: 12,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.20 : 20,852.45 = 8,370.48 : x
  2. Step 2: Convert to fraction form
    13,920.20/20,852.45 = 8,370.48/x
  3. Step 3: Cross multiply
    13,920.20x = 20,852.45 × 8,370.48
  4. Step 4: Simplify right side
    13,920.20x = 174,545,015.68
  5. Step 5: Solve for x
    x = 174,545,015.68/13,920.20
  6. Step 6: Final answer
    x = 12,538.97

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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.