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Finding the Fourth Proportional to 23,602.38, 35,414.50 and 12,514.29

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Solution

The fourth proportional to 23,602.38, 35,414.50 and 12,514.29 is: 18,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.38 : 35,414.50 = 12,514.29 : x
  2. Step 2: Convert to fraction form
    23,602.38/35,414.50 = 12,514.29/x
  3. Step 3: Cross multiply
    23,602.38x = 35,414.50 × 12,514.29
  4. Step 4: Simplify right side
    23,602.38x = 443,187,323.21
  5. Step 5: Solve for x
    x = 443,187,323.21/23,602.38
  6. Step 6: Final answer
    x = 18,777.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.