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Finding the Fourth Proportional to 20,812.70, 31,223.10 and 6,022.10

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Solution

The fourth proportional to 20,812.70, 31,223.10 and 6,022.10 is: 9,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.70 : 31,223.10 = 6,022.10 : x
  2. Step 2: Convert to fraction form
    20,812.70/31,223.10 = 6,022.10/x
  3. Step 3: Cross multiply
    20,812.70x = 31,223.10 × 6,022.10
  4. Step 4: Simplify right side
    20,812.70x = 188,028,630.51
  5. Step 5: Solve for x
    x = 188,028,630.51/20,812.70
  6. Step 6: Final answer
    x = 9,034.32

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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.