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Finding the Fourth Proportional to 20,221.20, 30,274.20 and 19,645.20

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Solution

The fourth proportional to 20,221.20, 30,274.20 and 19,645.20 is: 29,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.20 : 30,274.20 = 19,645.20 : x
  2. Step 2: Convert to fraction form
    20,221.20/30,274.20 = 19,645.20/x
  3. Step 3: Cross multiply
    20,221.20x = 30,274.20 × 19,645.20
  4. Step 4: Simplify right side
    20,221.20x = 594,742,713.84
  5. Step 5: Solve for x
    x = 594,742,713.84/20,221.20
  6. Step 6: Final answer
    x = 29,411.84

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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.