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Finding the Fourth Proportional to 20,593.14, 30,897.06 and 8,106.27

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Solution

The fourth proportional to 20,593.14, 30,897.06 and 8,106.27 is: 12,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.14 : 30,897.06 = 8,106.27 : x
  2. Step 2: Convert to fraction form
    20,593.14/30,897.06 = 8,106.27/x
  3. Step 3: Cross multiply
    20,593.14x = 30,897.06 × 8,106.27
  4. Step 4: Simplify right side
    20,593.14x = 250,459,910.57
  5. Step 5: Solve for x
    x = 250,459,910.57/20,593.14
  6. Step 6: Final answer
    x = 12,162.30

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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.