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Finding the Fourth Proportional to 13,673.29, 20,511.06 and 3,812.66

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Solution

The fourth proportional to 13,673.29, 20,511.06 and 3,812.66 is: 5,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.29 : 20,511.06 = 3,812.66 : x
  2. Step 2: Convert to fraction form
    13,673.29/20,511.06 = 3,812.66/x
  3. Step 3: Cross multiply
    13,673.29x = 20,511.06 × 3,812.66
  4. Step 4: Simplify right side
    13,673.29x = 78,201,698.02
  5. Step 5: Solve for x
    x = 78,201,698.02/13,673.29
  6. Step 6: Final answer
    x = 5,719.30

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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.