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Finding the Fourth Proportional to 20,280.46, 30,403.06 and 9,745.20

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Solution

The fourth proportional to 20,280.46, 30,403.06 and 9,745.20 is: 14,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280.46 : 30,403.06 = 9,745.20 : x
  2. Step 2: Convert to fraction form
    20,280.46/30,403.06 = 9,745.20/x
  3. Step 3: Cross multiply
    20,280.46x = 30,403.06 × 9,745.20
  4. Step 4: Simplify right side
    20,280.46x = 296,283,900.31
  5. Step 5: Solve for x
    x = 296,283,900.31/20,280.46
  6. Step 6: Final answer
    x = 14,609.33

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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.