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Finding the Fourth Proportional to 19,692.77, 29,517.89 and 9,704.46

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Solution

The fourth proportional to 19,692.77, 29,517.89 and 9,704.46 is: 14,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.77 : 29,517.89 = 9,704.46 : x
  2. Step 2: Convert to fraction form
    19,692.77/29,517.89 = 9,704.46/x
  3. Step 3: Cross multiply
    19,692.77x = 29,517.89 × 9,704.46
  4. Step 4: Simplify right side
    19,692.77x = 286,455,134.27
  5. Step 5: Solve for x
    x = 286,455,134.27/19,692.77
  6. Step 6: Final answer
    x = 14,546.21

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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.