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Finding the Fourth Proportional to 13,782.42, 20,665.80 and 9,405.18

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Solution

The fourth proportional to 13,782.42, 20,665.80 and 9,405.18 is: 14,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.42 : 20,665.80 = 9,405.18 : x
  2. Step 2: Convert to fraction form
    13,782.42/20,665.80 = 9,405.18/x
  3. Step 3: Cross multiply
    13,782.42x = 20,665.80 × 9,405.18
  4. Step 4: Simplify right side
    13,782.42x = 194,365,568.84
  5. Step 5: Solve for x
    x = 194,365,568.84/13,782.42
  6. Step 6: Final answer
    x = 14,102.43

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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.