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Finding the Fourth Proportional to 31,004.66, 42,786.37 and 16,857.47

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Solution

The fourth proportional to 31,004.66, 42,786.37 and 16,857.47 is: 23,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.66 : 42,786.37 = 16,857.47 : x
  2. Step 2: Convert to fraction form
    31,004.66/42,786.37 = 16,857.47/x
  3. Step 3: Cross multiply
    31,004.66x = 42,786.37 × 16,857.47
  4. Step 4: Simplify right side
    31,004.66x = 721,269,692.61
  5. Step 5: Solve for x
    x = 721,269,692.61/31,004.66
  6. Step 6: Final answer
    x = 23,263.27

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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.