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Finding the Fourth Proportional to 38,209.67, 57,296.07 and 16,017.09

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Solution

The fourth proportional to 38,209.67, 57,296.07 and 16,017.09 is: 24,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.67 : 57,296.07 = 16,017.09 : x
  2. Step 2: Convert to fraction form
    38,209.67/57,296.07 = 16,017.09/x
  3. Step 3: Cross multiply
    38,209.67x = 57,296.07 × 16,017.09
  4. Step 4: Simplify right side
    38,209.67x = 917,716,309.84
  5. Step 5: Solve for x
    x = 917,716,309.84/38,209.67
  6. Step 6: Final answer
    x = 24,017.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.