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Finding the Fourth Proportional to 20,480.76, 30,726 and 6,629.76

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Solution

The fourth proportional to 20,480.76, 30,726 and 6,629.76 is: 9,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.76 : 30,726 = 6,629.76 : x
  2. Step 2: Convert to fraction form
    20,480.76/30,726 = 6,629.76/x
  3. Step 3: Cross multiply
    20,480.76x = 30,726 × 6,629.76
  4. Step 4: Simplify right side
    20,480.76x = 203,706,005.76
  5. Step 5: Solve for x
    x = 203,706,005.76/20,480.76
  6. Step 6: Final answer
    x = 9,946.21

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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.