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Finding the Fourth Proportional to 20,993.36, 31,490.64 and 5,410.98

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Solution

The fourth proportional to 20,993.36, 31,490.64 and 5,410.98 is: 8,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.36 : 31,490.64 = 5,410.98 : x
  2. Step 2: Convert to fraction form
    20,993.36/31,490.64 = 5,410.98/x
  3. Step 3: Cross multiply
    20,993.36x = 31,490.64 × 5,410.98
  4. Step 4: Simplify right side
    20,993.36x = 170,395,223.23
  5. Step 5: Solve for x
    x = 170,395,223.23/20,993.36
  6. Step 6: Final answer
    x = 8,116.63

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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.