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Finding the Fourth Proportional to 34,274.26, 51,418.96 and 14,569.66

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Solution

The fourth proportional to 34,274.26, 51,418.96 and 14,569.66 is: 21,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274.26 : 51,418.96 = 14,569.66 : x
  2. Step 2: Convert to fraction form
    34,274.26/51,418.96 = 14,569.66/x
  3. Step 3: Cross multiply
    34,274.26x = 51,418.96 × 14,569.66
  4. Step 4: Simplify right side
    34,274.26x = 749,156,764.75
  5. Step 5: Solve for x
    x = 749,156,764.75/34,274.26
  6. Step 6: Final answer
    x = 21,857.71

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