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Finding the Fourth Proportional to 14,980.82, 22,471.24 and 5,120.20

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Solution

The fourth proportional to 14,980.82, 22,471.24 and 5,120.20 is: 7,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.82 : 22,471.24 = 5,120.20 : x
  2. Step 2: Convert to fraction form
    14,980.82/22,471.24 = 5,120.20/x
  3. Step 3: Cross multiply
    14,980.82x = 22,471.24 × 5,120.20
  4. Step 4: Simplify right side
    14,980.82x = 115,057,243.05
  5. Step 5: Solve for x
    x = 115,057,243.05/14,980.82
  6. Step 6: Final answer
    x = 7,680.30

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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.