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Finding the Fourth Proportional to 20,631.86, 30,953.10 and 9,546.50

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Solution

The fourth proportional to 20,631.86, 30,953.10 and 9,546.50 is: 14,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631.86 : 30,953.10 = 9,546.50 : x
  2. Step 2: Convert to fraction form
    20,631.86/30,953.10 = 9,546.50/x
  3. Step 3: Cross multiply
    20,631.86x = 30,953.10 × 9,546.50
  4. Step 4: Simplify right side
    20,631.86x = 295,493,769.15
  5. Step 5: Solve for x
    x = 295,493,769.15/20,631.86
  6. Step 6: Final answer
    x = 14,322.21

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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.