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Finding the Fourth Proportional to 20,189.67, 30,264.83 and 9,656.94

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Solution

The fourth proportional to 20,189.67, 30,264.83 and 9,656.94 is: 14,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.67 : 30,264.83 = 9,656.94 : x
  2. Step 2: Convert to fraction form
    20,189.67/30,264.83 = 9,656.94/x
  3. Step 3: Cross multiply
    20,189.67x = 30,264.83 × 9,656.94
  4. Step 4: Simplify right side
    20,189.67x = 292,265,447.81
  5. Step 5: Solve for x
    x = 292,265,447.81/20,189.67
  6. Step 6: Final answer
    x = 14,475.99

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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.