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Finding the Fourth Proportional to 13,749.75, 18,974.25 and 7,462.13

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Solution

The fourth proportional to 13,749.75, 18,974.25 and 7,462.13 is: 10,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.75 : 18,974.25 = 7,462.13 : x
  2. Step 2: Convert to fraction form
    13,749.75/18,974.25 = 7,462.13/x
  3. Step 3: Cross multiply
    13,749.75x = 18,974.25 × 7,462.13
  4. Step 4: Simplify right side
    13,749.75x = 141,588,225.28
  5. Step 5: Solve for x
    x = 141,588,225.28/13,749.75
  6. Step 6: Final answer
    x = 10,297.51

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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.