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Finding the Fourth Proportional to 20,593.98, 30,896.16 and 9,508.44

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Solution

The fourth proportional to 20,593.98, 30,896.16 and 9,508.44 is: 14,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.98 : 30,896.16 = 9,508.44 : x
  2. Step 2: Convert to fraction form
    20,593.98/30,896.16 = 9,508.44/x
  3. Step 3: Cross multiply
    20,593.98x = 30,896.16 × 9,508.44
  4. Step 4: Simplify right side
    20,593.98x = 293,774,283.59
  5. Step 5: Solve for x
    x = 293,774,283.59/20,593.98
  6. Step 6: Final answer
    x = 14,265.06

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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.