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Finding the Fourth Proportional to 30,456.39, 42,028.09 and 16,843.63

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Solution

The fourth proportional to 30,456.39, 42,028.09 and 16,843.63 is: 23,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.39 : 42,028.09 = 16,843.63 : x
  2. Step 2: Convert to fraction form
    30,456.39/42,028.09 = 16,843.63/x
  3. Step 3: Cross multiply
    30,456.39x = 42,028.09 × 16,843.63
  4. Step 4: Simplify right side
    30,456.39x = 707,905,597.57
  5. Step 5: Solve for x
    x = 707,905,597.57/30,456.39
  6. Step 6: Final answer
    x = 23,243.25

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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.