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Finding the Fourth Proportional to 20,214.70, 30,322.05 and 18,400.30

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Solution

The fourth proportional to 20,214.70, 30,322.05 and 18,400.30 is: 27,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.70 : 30,322.05 = 18,400.30 : x
  2. Step 2: Convert to fraction form
    20,214.70/30,322.05 = 18,400.30/x
  3. Step 3: Cross multiply
    20,214.70x = 30,322.05 × 18,400.30
  4. Step 4: Simplify right side
    20,214.70x = 557,934,816.62
  5. Step 5: Solve for x
    x = 557,934,816.62/20,214.70
  6. Step 6: Final answer
    x = 27,600.45

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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.