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Finding the Fourth Proportional to 19,692.39, 29,519.90 and 7,853.43

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Solution

The fourth proportional to 19,692.39, 29,519.90 and 7,853.43 is: 11,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.39 : 29,519.90 = 7,853.43 : x
  2. Step 2: Convert to fraction form
    19,692.39/29,519.90 = 7,853.43/x
  3. Step 3: Cross multiply
    19,692.39x = 29,519.90 × 7,853.43
  4. Step 4: Simplify right side
    19,692.39x = 231,832,428.99
  5. Step 5: Solve for x
    x = 231,832,428.99/19,692.39
  6. Step 6: Final answer
    x = 11,772.69

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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.