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Finding the Fourth Proportional to 30,809.44, 42,517 and 16,662.25

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Solution

The fourth proportional to 30,809.44, 42,517 and 16,662.25 is: 22,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.44 : 42,517 = 16,662.25 : x
  2. Step 2: Convert to fraction form
    30,809.44/42,517 = 16,662.25/x
  3. Step 3: Cross multiply
    30,809.44x = 42,517 × 16,662.25
  4. Step 4: Simplify right side
    30,809.44x = 708,428,883.25
  5. Step 5: Solve for x
    x = 708,428,883.25/30,809.44
  6. Step 6: Final answer
    x = 22,993.89

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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.