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Finding the Fourth Proportional to 20,544.24, 30,809.76 and 6,690

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Solution

The fourth proportional to 20,544.24, 30,809.76 and 6,690 is: 10,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.24 : 30,809.76 = 6,690 : x
  2. Step 2: Convert to fraction form
    20,544.24/30,809.76 = 6,690/x
  3. Step 3: Cross multiply
    20,544.24x = 30,809.76 × 6,690
  4. Step 4: Simplify right side
    20,544.24x = 206,117,294.40
  5. Step 5: Solve for x
    x = 206,117,294.40/20,544.24
  6. Step 6: Final answer
    x = 10,032.85

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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.