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Finding the Fourth Proportional to 13,665.18, 20,451.43 and 8,403.49

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Solution

The fourth proportional to 13,665.18, 20,451.43 and 8,403.49 is: 12,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.18 : 20,451.43 = 8,403.49 : x
  2. Step 2: Convert to fraction form
    13,665.18/20,451.43 = 8,403.49/x
  3. Step 3: Cross multiply
    13,665.18x = 20,451.43 × 8,403.49
  4. Step 4: Simplify right side
    13,665.18x = 171,863,387.49
  5. Step 5: Solve for x
    x = 171,863,387.49/13,665.18
  6. Step 6: Final answer
    x = 12,576.74

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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.