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Finding the Fourth Proportional to 13,443.60, 20,143.56 and 8,238.48

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Solution

The fourth proportional to 13,443.60, 20,143.56 and 8,238.48 is: 12,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.60 : 20,143.56 = 8,238.48 : x
  2. Step 2: Convert to fraction form
    13,443.60/20,143.56 = 8,238.48/x
  3. Step 3: Cross multiply
    13,443.60x = 20,143.56 × 8,238.48
  4. Step 4: Simplify right side
    13,443.60x = 165,952,316.19
  5. Step 5: Solve for x
    x = 165,952,316.19/13,443.60
  6. Step 6: Final answer
    x = 12,344.34

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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.