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Finding the Fourth Proportional to 20,286.80, 27,980.34 and 17,458.95

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Solution

The fourth proportional to 20,286.80, 27,980.34 and 17,458.95 is: 24,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.80 : 27,980.34 = 17,458.95 : x
  2. Step 2: Convert to fraction form
    20,286.80/27,980.34 = 17,458.95/x
  3. Step 3: Cross multiply
    20,286.80x = 27,980.34 × 17,458.95
  4. Step 4: Simplify right side
    20,286.80x = 488,507,357.04
  5. Step 5: Solve for x
    x = 488,507,357.04/20,286.80
  6. Step 6: Final answer
    x = 24,080.07

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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.