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Finding the Fourth Proportional to 20,993.39, 31,490.10 and 7,142.39

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Solution

The fourth proportional to 20,993.39, 31,490.10 and 7,142.39 is: 10,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.39 : 31,490.10 = 7,142.39 : x
  2. Step 2: Convert to fraction form
    20,993.39/31,490.10 = 7,142.39/x
  3. Step 3: Cross multiply
    20,993.39x = 31,490.10 × 7,142.39
  4. Step 4: Simplify right side
    20,993.39x = 224,914,575.34
  5. Step 5: Solve for x
    x = 224,914,575.34/20,993.39
  6. Step 6: Final answer
    x = 10,713.59

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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.