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Finding the Fourth Proportional to 14,514.08, 20,029.66 and 8,142.09

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Solution

The fourth proportional to 14,514.08, 20,029.66 and 8,142.09 is: 11,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.08 : 20,029.66 = 8,142.09 : x
  2. Step 2: Convert to fraction form
    14,514.08/20,029.66 = 8,142.09/x
  3. Step 3: Cross multiply
    14,514.08x = 20,029.66 × 8,142.09
  4. Step 4: Simplify right side
    14,514.08x = 163,083,294.39
  5. Step 5: Solve for x
    x = 163,083,294.39/14,514.08
  6. Step 6: Final answer
    x = 11,236.21

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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.