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Finding the Fourth Proportional to 13,164.53, 19,745.78 and 6,142.43

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Solution

The fourth proportional to 13,164.53, 19,745.78 and 6,142.43 is: 9,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.53 : 19,745.78 = 6,142.43 : x
  2. Step 2: Convert to fraction form
    13,164.53/19,745.78 = 6,142.43/x
  3. Step 3: Cross multiply
    13,164.53x = 19,745.78 × 6,142.43
  4. Step 4: Simplify right side
    13,164.53x = 121,287,090.10
  5. Step 5: Solve for x
    x = 121,287,090.10/13,164.53
  6. Step 6: Final answer
    x = 9,213.18

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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.