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Finding the Fourth Proportional to 20,296.66, 27,993.54 and 13,029.46

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Solution

The fourth proportional to 20,296.66, 27,993.54 and 13,029.46 is: 17,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.66 : 27,993.54 = 13,029.46 : x
  2. Step 2: Convert to fraction form
    20,296.66/27,993.54 = 13,029.46/x
  3. Step 3: Cross multiply
    20,296.66x = 27,993.54 × 13,029.46
  4. Step 4: Simplify right side
    20,296.66x = 364,740,709.69
  5. Step 5: Solve for x
    x = 364,740,709.69/20,296.66
  6. Step 6: Final answer
    x = 17,970.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.