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Finding the Fourth Proportional to 20,311.35, 30,454.73 and 13,282.88

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Solution

The fourth proportional to 20,311.35, 30,454.73 and 13,282.88 is: 19,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.35 : 30,454.73 = 13,282.88 : x
  2. Step 2: Convert to fraction form
    20,311.35/30,454.73 = 13,282.88/x
  3. Step 3: Cross multiply
    20,311.35x = 30,454.73 × 13,282.88
  4. Step 4: Simplify right side
    20,311.35x = 404,526,457.61
  5. Step 5: Solve for x
    x = 404,526,457.61/20,311.35
  6. Step 6: Final answer
    x = 19,916.28

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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.