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Finding the Fourth Proportional to 38,286.84, 57,430.26 and 11,993.63

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Solution

The fourth proportional to 38,286.84, 57,430.26 and 11,993.63 is: 17,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286.84 : 57,430.26 = 11,993.63 : x
  2. Step 2: Convert to fraction form
    38,286.84/57,430.26 = 11,993.63/x
  3. Step 3: Cross multiply
    38,286.84x = 57,430.26 × 11,993.63
  4. Step 4: Simplify right side
    38,286.84x = 688,797,002.09
  5. Step 5: Solve for x
    x = 688,797,002.09/38,286.84
  6. Step 6: Final answer
    x = 17,990.44

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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.