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Finding the Fourth Proportional to 24,694.94, 34,077.71 and 13,514.78

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Solution

The fourth proportional to 24,694.94, 34,077.71 and 13,514.78 is: 18,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.94 : 34,077.71 = 13,514.78 : x
  2. Step 2: Convert to fraction form
    24,694.94/34,077.71 = 13,514.78/x
  3. Step 3: Cross multiply
    24,694.94x = 34,077.71 × 13,514.78
  4. Step 4: Simplify right side
    24,694.94x = 460,552,753.55
  5. Step 5: Solve for x
    x = 460,552,753.55/24,694.94
  6. Step 6: Final answer
    x = 18,649.68

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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.