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Finding the Fourth Proportional to 20,654.82, 30,894.75 and 14,006.34

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Solution

The fourth proportional to 20,654.82, 30,894.75 and 14,006.34 is: 20,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.82 : 30,894.75 = 14,006.34 : x
  2. Step 2: Convert to fraction form
    20,654.82/30,894.75 = 14,006.34/x
  3. Step 3: Cross multiply
    20,654.82x = 30,894.75 × 14,006.34
  4. Step 4: Simplify right side
    20,654.82x = 432,722,372.72
  5. Step 5: Solve for x
    x = 432,722,372.72/20,654.82
  6. Step 6: Final answer
    x = 20,950.19

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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.