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Finding the Fourth Proportional to 20,174.42, 27,833.04 and 12,514.14

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Solution

The fourth proportional to 20,174.42, 27,833.04 and 12,514.14 is: 17,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.42 : 27,833.04 = 12,514.14 : x
  2. Step 2: Convert to fraction form
    20,174.42/27,833.04 = 12,514.14/x
  3. Step 3: Cross multiply
    20,174.42x = 27,833.04 × 12,514.14
  4. Step 4: Simplify right side
    20,174.42x = 348,306,559.19
  5. Step 5: Solve for x
    x = 348,306,559.19/20,174.42
  6. Step 6: Final answer
    x = 17,264.76

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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.