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Finding the Fourth Proportional to 20,398.14, 30,588.89 and 6,353.44

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Solution

The fourth proportional to 20,398.14, 30,588.89 and 6,353.44 is: 9,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398.14 : 30,588.89 = 6,353.44 : x
  2. Step 2: Convert to fraction form
    20,398.14/30,588.89 = 6,353.44/x
  3. Step 3: Cross multiply
    20,398.14x = 30,588.89 × 6,353.44
  4. Step 4: Simplify right side
    20,398.14x = 194,344,677.28
  5. Step 5: Solve for x
    x = 194,344,677.28/20,398.14
  6. Step 6: Final answer
    x = 9,527.57

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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.