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Finding the Fourth Proportional to 13,021.14, 19,532.25 and 3,787.14

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Solution

The fourth proportional to 13,021.14, 19,532.25 and 3,787.14 is: 5,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.14 : 19,532.25 = 3,787.14 : x
  2. Step 2: Convert to fraction form
    13,021.14/19,532.25 = 3,787.14/x
  3. Step 3: Cross multiply
    13,021.14x = 19,532.25 × 3,787.14
  4. Step 4: Simplify right side
    13,021.14x = 73,971,365.27
  5. Step 5: Solve for x
    x = 73,971,365.27/13,021.14
  6. Step 6: Final answer
    x = 5,680.87

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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.