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Finding the Fourth Proportional to 13,745.09, 18,968.14 and 7,457.33

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Solution

The fourth proportional to 13,745.09, 18,968.14 and 7,457.33 is: 10,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.09 : 18,968.14 = 7,457.33 : x
  2. Step 2: Convert to fraction form
    13,745.09/18,968.14 = 7,457.33/x
  3. Step 3: Cross multiply
    13,745.09x = 18,968.14 × 7,457.33
  4. Step 4: Simplify right side
    13,745.09x = 141,451,679.47
  5. Step 5: Solve for x
    x = 141,451,679.47/13,745.09
  6. Step 6: Final answer
    x = 10,291.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.