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Finding the Fourth Proportional to 20,154.64, 30,190.80 and 9,592.70

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Solution

The fourth proportional to 20,154.64, 30,190.80 and 9,592.70 is: 14,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.64 : 30,190.80 = 9,592.70 : x
  2. Step 2: Convert to fraction form
    20,154.64/30,190.80 = 9,592.70/x
  3. Step 3: Cross multiply
    20,154.64x = 30,190.80 × 9,592.70
  4. Step 4: Simplify right side
    20,154.64x = 289,611,287.16
  5. Step 5: Solve for x
    x = 289,611,287.16/20,154.64
  6. Step 6: Final answer
    x = 14,369.46

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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.