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Finding the Fourth Proportional to 19,692.52, 29,538.96 and 6,183.76

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Solution

The fourth proportional to 19,692.52, 29,538.96 and 6,183.76 is: 9,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.52 : 29,538.96 = 6,183.76 : x
  2. Step 2: Convert to fraction form
    19,692.52/29,538.96 = 6,183.76/x
  3. Step 3: Cross multiply
    19,692.52x = 29,538.96 × 6,183.76
  4. Step 4: Simplify right side
    19,692.52x = 182,661,839.29
  5. Step 5: Solve for x
    x = 182,661,839.29/19,692.52
  6. Step 6: Final answer
    x = 9,275.70

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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.