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Finding the Fourth Proportional to 13,911.75, 20,862.16 and 5,140.67

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Solution

The fourth proportional to 13,911.75, 20,862.16 and 5,140.67 is: 7,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.75 : 20,862.16 = 5,140.67 : x
  2. Step 2: Convert to fraction form
    13,911.75/20,862.16 = 5,140.67/x
  3. Step 3: Cross multiply
    13,911.75x = 20,862.16 × 5,140.67
  4. Step 4: Simplify right side
    13,911.75x = 107,245,362.88
  5. Step 5: Solve for x
    x = 107,245,362.88/13,911.75
  6. Step 6: Final answer
    x = 7,708.98

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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.