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Finding the Fourth Proportional to 20,684.40, 31,027.52 and 6,645

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Solution

The fourth proportional to 20,684.40, 31,027.52 and 6,645 is: 9,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.40 : 31,027.52 = 6,645 : x
  2. Step 2: Convert to fraction form
    20,684.40/31,027.52 = 6,645/x
  3. Step 3: Cross multiply
    20,684.40x = 31,027.52 × 6,645
  4. Step 4: Simplify right side
    20,684.40x = 206,177,870.40
  5. Step 5: Solve for x
    x = 206,177,870.40/20,684.40
  6. Step 6: Final answer
    x = 9,967.80

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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.