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Finding the Fourth Proportional to 13,443.40, 20,164.26 and 4,083.40

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Solution

The fourth proportional to 13,443.40, 20,164.26 and 4,083.40 is: 6,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.40 : 20,164.26 = 4,083.40 : x
  2. Step 2: Convert to fraction form
    13,443.40/20,164.26 = 4,083.40/x
  3. Step 3: Cross multiply
    13,443.40x = 20,164.26 × 4,083.40
  4. Step 4: Simplify right side
    13,443.40x = 82,338,739.28
  5. Step 5: Solve for x
    x = 82,338,739.28/13,443.40
  6. Step 6: Final answer
    x = 6,124.84

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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.