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Finding the Fourth Proportional to 20,918.67, 31,378.09 and 14,706.49

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Solution

The fourth proportional to 20,918.67, 31,378.09 and 14,706.49 is: 22,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,918.67 : 31,378.09 = 14,706.49 : x
  2. Step 2: Convert to fraction form
    20,918.67/31,378.09 = 14,706.49/x
  3. Step 3: Cross multiply
    20,918.67x = 31,378.09 × 14,706.49
  4. Step 4: Simplify right side
    20,918.67x = 461,461,493.27
  5. Step 5: Solve for x
    x = 461,461,493.27/20,918.67
  6. Step 6: Final answer
    x = 22,059.79

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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.