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Finding the Fourth Proportional to 19,692.59, 29,520.20 and 7,853.64

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Solution

The fourth proportional to 19,692.59, 29,520.20 and 7,853.64 is: 11,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.59 : 29,520.20 = 7,853.64 : x
  2. Step 2: Convert to fraction form
    19,692.59/29,520.20 = 7,853.64/x
  3. Step 3: Cross multiply
    19,692.59x = 29,520.20 × 7,853.64
  4. Step 4: Simplify right side
    19,692.59x = 231,841,023.53
  5. Step 5: Solve for x
    x = 231,841,023.53/19,692.59
  6. Step 6: Final answer
    x = 11,773.01

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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.