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Finding the Fourth Proportional to 20,430.90, 30,638.42 and 7,949.26

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Solution

The fourth proportional to 20,430.90, 30,638.42 and 7,949.26 is: 11,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.90 : 30,638.42 = 7,949.26 : x
  2. Step 2: Convert to fraction form
    20,430.90/30,638.42 = 7,949.26/x
  3. Step 3: Cross multiply
    20,430.90x = 30,638.42 × 7,949.26
  4. Step 4: Simplify right side
    20,430.90x = 243,552,766.57
  5. Step 5: Solve for x
    x = 243,552,766.57/20,430.90
  6. Step 6: Final answer
    x = 11,920.80

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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.