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Finding the Fourth Proportional to 21,938.40, 32,907.60 and 20,469.60

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Solution

The fourth proportional to 21,938.40, 32,907.60 and 20,469.60 is: 30,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.40 : 32,907.60 = 20,469.60 : x
  2. Step 2: Convert to fraction form
    21,938.40/32,907.60 = 20,469.60/x
  3. Step 3: Cross multiply
    21,938.40x = 32,907.60 × 20,469.60
  4. Step 4: Simplify right side
    21,938.40x = 673,605,408.96
  5. Step 5: Solve for x
    x = 673,605,408.96/21,938.40
  6. Step 6: Final answer
    x = 30,704.40

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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.