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Finding the Fourth Proportional to 20,277.34, 27,980.84 and 13,107.42

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Solution

The fourth proportional to 20,277.34, 27,980.84 and 13,107.42 is: 18,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.34 : 27,980.84 = 13,107.42 : x
  2. Step 2: Convert to fraction form
    20,277.34/27,980.84 = 13,107.42/x
  3. Step 3: Cross multiply
    20,277.34x = 27,980.84 × 13,107.42
  4. Step 4: Simplify right side
    20,277.34x = 366,756,654.60
  5. Step 5: Solve for x
    x = 366,756,654.60/20,277.34
  6. Step 6: Final answer
    x = 18,087.02

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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.