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Finding the Fourth Proportional to 20,172.68, 30,263.82 and 6,133.52

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Solution

The fourth proportional to 20,172.68, 30,263.82 and 6,133.52 is: 9,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.68 : 30,263.82 = 6,133.52 : x
  2. Step 2: Convert to fraction form
    20,172.68/30,263.82 = 6,133.52/x
  3. Step 3: Cross multiply
    20,172.68x = 30,263.82 × 6,133.52
  4. Step 4: Simplify right side
    20,172.68x = 185,623,745.25
  5. Step 5: Solve for x
    x = 185,623,745.25/20,172.68
  6. Step 6: Final answer
    x = 9,201.74

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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.