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Finding the Fourth Proportional to 20,900.31, 31,361.21 and 13,885.17

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Solution

The fourth proportional to 20,900.31, 31,361.21 and 13,885.17 is: 20,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.31 : 31,361.21 = 13,885.17 : x
  2. Step 2: Convert to fraction form
    20,900.31/31,361.21 = 13,885.17/x
  3. Step 3: Cross multiply
    20,900.31x = 31,361.21 × 13,885.17
  4. Step 4: Simplify right side
    20,900.31x = 435,455,732.26
  5. Step 5: Solve for x
    x = 435,455,732.26/20,900.31
  6. Step 6: Final answer
    x = 20,834.89

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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.