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Finding the Fourth Proportional to 20,996.40, 31,494.24 and 5,201.40

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Solution

The fourth proportional to 20,996.40, 31,494.24 and 5,201.40 is: 7,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.40 : 31,494.24 = 5,201.40 : x
  2. Step 2: Convert to fraction form
    20,996.40/31,494.24 = 5,201.40/x
  3. Step 3: Cross multiply
    20,996.40x = 31,494.24 × 5,201.40
  4. Step 4: Simplify right side
    20,996.40x = 163,814,139.94
  5. Step 5: Solve for x
    x = 163,814,139.94/20,996.40
  6. Step 6: Final answer
    x = 7,802.01

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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.