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Finding the Fourth Proportional to 24,965.69, 34,451.87 and 13,635

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Solution

The fourth proportional to 24,965.69, 34,451.87 and 13,635 is: 18,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.69 : 34,451.87 = 13,635 : x
  2. Step 2: Convert to fraction form
    24,965.69/34,451.87 = 13,635/x
  3. Step 3: Cross multiply
    24,965.69x = 34,451.87 × 13,635
  4. Step 4: Simplify right side
    24,965.69x = 469,751,179.28
  5. Step 5: Solve for x
    x = 469,751,179.28/24,965.69
  6. Step 6: Final answer
    x = 18,815.87

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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.