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Finding the Fourth Proportional to 20,266.85, 27,968.00 and 11,314.51

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Solution

The fourth proportional to 20,266.85, 27,968.00 and 11,314.51 is: 15,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.85 : 27,968.00 = 11,314.51 : x
  2. Step 2: Convert to fraction form
    20,266.85/27,968.00 = 11,314.51/x
  3. Step 3: Cross multiply
    20,266.85x = 27,968.00 × 11,314.51
  4. Step 4: Simplify right side
    20,266.85x = 316,444,174.05
  5. Step 5: Solve for x
    x = 316,444,174.05/20,266.85
  6. Step 6: Final answer
    x = 15,613.88

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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.