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Finding the Fourth Proportional to 19,692.42, 27,161.64 and 11,728.50

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Solution

The fourth proportional to 19,692.42, 27,161.64 and 11,728.50 is: 16,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.42 : 27,161.64 = 11,728.50 : x
  2. Step 2: Convert to fraction form
    19,692.42/27,161.64 = 11,728.50/x
  3. Step 3: Cross multiply
    19,692.42x = 27,161.64 × 11,728.50
  4. Step 4: Simplify right side
    19,692.42x = 318,565,294.74
  5. Step 5: Solve for x
    x = 318,565,294.74/19,692.42
  6. Step 6: Final answer
    x = 16,177.05

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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.