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Finding the Fourth Proportional to 17,933.28, 24,748.02 and 9,974.76

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Solution

The fourth proportional to 17,933.28, 24,748.02 and 9,974.76 is: 13,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.28 : 24,748.02 = 9,974.76 : x
  2. Step 2: Convert to fraction form
    17,933.28/24,748.02 = 9,974.76/x
  3. Step 3: Cross multiply
    17,933.28x = 24,748.02 × 9,974.76
  4. Step 4: Simplify right side
    17,933.28x = 246,855,559.98
  5. Step 5: Solve for x
    x = 246,855,559.98/17,933.28
  6. Step 6: Final answer
    x = 13,765.22

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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.