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Finding the Fourth Proportional to 13,680.33, 20,511.31 and 7,020.87

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Solution

The fourth proportional to 13,680.33, 20,511.31 and 7,020.87 is: 10,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.33 : 20,511.31 = 7,020.87 : x
  2. Step 2: Convert to fraction form
    13,680.33/20,511.31 = 7,020.87/x
  3. Step 3: Cross multiply
    13,680.33x = 20,511.31 × 7,020.87
  4. Step 4: Simplify right side
    13,680.33x = 144,007,241.04
  5. Step 5: Solve for x
    x = 144,007,241.04/13,680.33
  6. Step 6: Final answer
    x = 10,526.59

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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.