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Finding the Fourth Proportional to 13,745.53, 18,968.85 and 7,457.91

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Solution

The fourth proportional to 13,745.53, 18,968.85 and 7,457.91 is: 10,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.53 : 18,968.85 = 7,457.91 : x
  2. Step 2: Convert to fraction form
    13,745.53/18,968.85 = 7,457.91/x
  3. Step 3: Cross multiply
    13,745.53x = 18,968.85 × 7,457.91
  4. Step 4: Simplify right side
    13,745.53x = 141,467,904.97
  5. Step 5: Solve for x
    x = 141,467,904.97/13,745.53
  6. Step 6: Final answer
    x = 10,291.92

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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.