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Finding the Fourth Proportional to 20,409.60, 30,614.40 and 18,530.40

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Solution

The fourth proportional to 20,409.60, 30,614.40 and 18,530.40 is: 27,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.60 : 30,614.40 = 18,530.40 : x
  2. Step 2: Convert to fraction form
    20,409.60/30,614.40 = 18,530.40/x
  3. Step 3: Cross multiply
    20,409.60x = 30,614.40 × 18,530.40
  4. Step 4: Simplify right side
    20,409.60x = 567,297,077.76
  5. Step 5: Solve for x
    x = 567,297,077.76/20,409.60
  6. Step 6: Final answer
    x = 27,795.60

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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.