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Finding the Fourth Proportional to 20,210.46, 30,314.94 and 6,169.92

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Solution

The fourth proportional to 20,210.46, 30,314.94 and 6,169.92 is: 9,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.46 : 30,314.94 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    20,210.46/30,314.94 = 6,169.92/x
  3. Step 3: Cross multiply
    20,210.46x = 30,314.94 × 6,169.92
  4. Step 4: Simplify right side
    20,210.46x = 187,040,754.60
  5. Step 5: Solve for x
    x = 187,040,754.60/20,210.46
  6. Step 6: Final answer
    x = 9,254.65

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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.