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Finding the Fourth Proportional to 30,809.25, 42,516.78 and 16,662.09

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Solution

The fourth proportional to 30,809.25, 42,516.78 and 16,662.09 is: 22,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.25 : 42,516.78 = 16,662.09 : x
  2. Step 2: Convert to fraction form
    30,809.25/42,516.78 = 16,662.09/x
  3. Step 3: Cross multiply
    30,809.25x = 42,516.78 × 16,662.09
  4. Step 4: Simplify right side
    30,809.25x = 708,418,414.87
  5. Step 5: Solve for x
    x = 708,418,414.87/30,809.25
  6. Step 6: Final answer
    x = 22,993.69

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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.