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Finding the Fourth Proportional to 36,460, 54,692.10 and 11,500.84

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Solution

The fourth proportional to 36,460, 54,692.10 and 11,500.84 is: 17,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 54,692.10 = 11,500.84 : x
  2. Step 2: Convert to fraction form
    36,460/54,692.10 = 11,500.84/x
  3. Step 3: Cross multiply
    36,460x = 54,692.10 × 11,500.84
  4. Step 4: Simplify right side
    36,460x = 629,005,091.36
  5. Step 5: Solve for x
    x = 629,005,091.36/36,460
  6. Step 6: Final answer
    x = 17,251.92

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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.