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Finding the Fourth Proportional to 13,912.84, 20,875.24 and 9,234.48

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Solution

The fourth proportional to 13,912.84, 20,875.24 and 9,234.48 is: 13,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.84 : 20,875.24 = 9,234.48 : x
  2. Step 2: Convert to fraction form
    13,912.84/20,875.24 = 9,234.48/x
  3. Step 3: Cross multiply
    13,912.84x = 20,875.24 × 9,234.48
  4. Step 4: Simplify right side
    13,912.84x = 192,771,986.28
  5. Step 5: Solve for x
    x = 192,771,986.28/13,912.84
  6. Step 6: Final answer
    x = 13,855.69

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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.