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Finding the Fourth Proportional to 17,414.74, 24,023.82 and 10,336.15

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Solution

The fourth proportional to 17,414.74, 24,023.82 and 10,336.15 is: 14,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.74 : 24,023.82 = 10,336.15 : x
  2. Step 2: Convert to fraction form
    17,414.74/24,023.82 = 10,336.15/x
  3. Step 3: Cross multiply
    17,414.74x = 24,023.82 × 10,336.15
  4. Step 4: Simplify right side
    17,414.74x = 248,313,807.09
  5. Step 5: Solve for x
    x = 248,313,807.09/17,414.74
  6. Step 6: Final answer
    x = 14,258.83

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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.