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Finding the Fourth Proportional to 20,153.64, 30,189.30 and 9,591.70

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Solution

The fourth proportional to 20,153.64, 30,189.30 and 9,591.70 is: 14,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.64 : 30,189.30 = 9,591.70 : x
  2. Step 2: Convert to fraction form
    20,153.64/30,189.30 = 9,591.70/x
  3. Step 3: Cross multiply
    20,153.64x = 30,189.30 × 9,591.70
  4. Step 4: Simplify right side
    20,153.64x = 289,566,708.81
  5. Step 5: Solve for x
    x = 289,566,708.81/20,153.64
  6. Step 6: Final answer
    x = 14,367.96

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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.