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Finding the Fourth Proportional to 14,813.82, 20,421.99 and 10,092.06

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Solution

The fourth proportional to 14,813.82, 20,421.99 and 10,092.06 is: 13,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.82 : 20,421.99 = 10,092.06 : x
  2. Step 2: Convert to fraction form
    14,813.82/20,421.99 = 10,092.06/x
  3. Step 3: Cross multiply
    14,813.82x = 20,421.99 × 10,092.06
  4. Step 4: Simplify right side
    14,813.82x = 206,099,948.40
  5. Step 5: Solve for x
    x = 206,099,948.40/14,813.82
  6. Step 6: Final answer
    x = 13,912.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.