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Finding the Fourth Proportional to 13,584.00, 20,381.81 and 7,014.80

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Solution

The fourth proportional to 13,584.00, 20,381.81 and 7,014.80 is: 10,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.00 : 20,381.81 = 7,014.80 : x
  2. Step 2: Convert to fraction form
    13,584.00/20,381.81 = 7,014.80/x
  3. Step 3: Cross multiply
    13,584.00x = 20,381.81 × 7,014.80
  4. Step 4: Simplify right side
    13,584.00x = 142,974,405.72
  5. Step 5: Solve for x
    x = 142,974,405.72/13,584.00
  6. Step 6: Final answer
    x = 10,525.20

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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.