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Finding the Fourth Proportional to 13,713.95, 20,571.69 and 3,852.46

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Solution

The fourth proportional to 13,713.95, 20,571.69 and 3,852.46 is: 5,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.95 : 20,571.69 = 3,852.46 : x
  2. Step 2: Convert to fraction form
    13,713.95/20,571.69 = 3,852.46/x
  3. Step 3: Cross multiply
    13,713.95x = 20,571.69 × 3,852.46
  4. Step 4: Simplify right side
    13,713.95x = 79,251,510.00
  5. Step 5: Solve for x
    x = 79,251,510.00/13,713.95
  6. Step 6: Final answer
    x = 5,778.90

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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.