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Finding the Fourth Proportional to 13,046.28, 19,572.30 and 3,813

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Solution

The fourth proportional to 13,046.28, 19,572.30 and 3,813 is: 5,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.28 : 19,572.30 = 3,813 : x
  2. Step 2: Convert to fraction form
    13,046.28/19,572.30 = 3,813/x
  3. Step 3: Cross multiply
    13,046.28x = 19,572.30 × 3,813
  4. Step 4: Simplify right side
    13,046.28x = 74,629,179.90
  5. Step 5: Solve for x
    x = 74,629,179.90/13,046.28
  6. Step 6: Final answer
    x = 5,720.34

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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.