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Finding the Fourth Proportional to 13,448.97, 20,173.91 and 4,564.22

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Solution

The fourth proportional to 13,448.97, 20,173.91 and 4,564.22 is: 6,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.97 : 20,173.91 = 4,564.22 : x
  2. Step 2: Convert to fraction form
    13,448.97/20,173.91 = 4,564.22/x
  3. Step 3: Cross multiply
    13,448.97x = 20,173.91 × 4,564.22
  4. Step 4: Simplify right side
    13,448.97x = 92,078,039.81
  5. Step 5: Solve for x
    x = 92,078,039.81/13,448.97
  6. Step 6: Final answer
    x = 6,846.48

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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.