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Finding the Fourth Proportional to 20,265.49, 27,967.78 and 11,314.79

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Solution

The fourth proportional to 20,265.49, 27,967.78 and 11,314.79 is: 15,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.49 : 27,967.78 = 11,314.79 : x
  2. Step 2: Convert to fraction form
    20,265.49/27,967.78 = 11,314.79/x
  3. Step 3: Cross multiply
    20,265.49x = 27,967.78 × 11,314.79
  4. Step 4: Simplify right side
    20,265.49x = 316,449,536.65
  5. Step 5: Solve for x
    x = 316,449,536.65/20,265.49
  6. Step 6: Final answer
    x = 15,615.19

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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.