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Finding the Fourth Proportional to 20,078.16, 30,118.86 and 6,227.16

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Solution

The fourth proportional to 20,078.16, 30,118.86 and 6,227.16 is: 9,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.16 : 30,118.86 = 6,227.16 : x
  2. Step 2: Convert to fraction form
    20,078.16/30,118.86 = 6,227.16/x
  3. Step 3: Cross multiply
    20,078.16x = 30,118.86 × 6,227.16
  4. Step 4: Simplify right side
    20,078.16x = 187,554,960.24
  5. Step 5: Solve for x
    x = 187,554,960.24/20,078.16
  6. Step 6: Final answer
    x = 9,341.24

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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.