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Finding the Fourth Proportional to 30,283.86, 41,791.42 and 16,854.88

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Solution

The fourth proportional to 30,283.86, 41,791.42 and 16,854.88 is: 23,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.86 : 41,791.42 = 16,854.88 : x
  2. Step 2: Convert to fraction form
    30,283.86/41,791.42 = 16,854.88/x
  3. Step 3: Cross multiply
    30,283.86x = 41,791.42 × 16,854.88
  4. Step 4: Simplify right side
    30,283.86x = 704,389,369.13
  5. Step 5: Solve for x
    x = 704,389,369.13/30,283.86
  6. Step 6: Final answer
    x = 23,259.56

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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.