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Finding the Fourth Proportional to 13,677.89, 20,516.82 and 10,562.43

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Solution

The fourth proportional to 13,677.89, 20,516.82 and 10,562.43 is: 15,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.89 : 20,516.82 = 10,562.43 : x
  2. Step 2: Convert to fraction form
    13,677.89/20,516.82 = 10,562.43/x
  3. Step 3: Cross multiply
    13,677.89x = 20,516.82 × 10,562.43
  4. Step 4: Simplify right side
    13,677.89x = 216,707,475.07
  5. Step 5: Solve for x
    x = 216,707,475.07/13,677.89
  6. Step 6: Final answer
    x = 15,843.64

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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.