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Finding the Fourth Proportional to 26,514.53, 36,589.16 and 14,414.94

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Solution

The fourth proportional to 26,514.53, 36,589.16 and 14,414.94 is: 19,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,514.53 : 36,589.16 = 14,414.94 : x
  2. Step 2: Convert to fraction form
    26,514.53/36,589.16 = 14,414.94/x
  3. Step 3: Cross multiply
    26,514.53x = 36,589.16 × 14,414.94
  4. Step 4: Simplify right side
    26,514.53x = 527,430,473.98
  5. Step 5: Solve for x
    x = 527,430,473.98/26,514.53
  6. Step 6: Final answer
    x = 19,892.13

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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.