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Finding the Fourth Proportional to 13,708.44, 20,571.17 and 6,313.95

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Solution

The fourth proportional to 13,708.44, 20,571.17 and 6,313.95 is: 9,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.44 : 20,571.17 = 6,313.95 : x
  2. Step 2: Convert to fraction form
    13,708.44/20,571.17 = 6,313.95/x
  3. Step 3: Cross multiply
    13,708.44x = 20,571.17 × 6,313.95
  4. Step 4: Simplify right side
    13,708.44x = 129,885,307.25
  5. Step 5: Solve for x
    x = 129,885,307.25/13,708.44
  6. Step 6: Final answer
    x = 9,474.84

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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.