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Finding the Fourth Proportional to 12,457.30, 18,686 and 3,692.28

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Solution

The fourth proportional to 12,457.30, 18,686 and 3,692.28 is: 5,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.30 : 18,686 = 3,692.28 : x
  2. Step 2: Convert to fraction form
    12,457.30/18,686 = 3,692.28/x
  3. Step 3: Cross multiply
    12,457.30x = 18,686 × 3,692.28
  4. Step 4: Simplify right side
    12,457.30x = 68,993,944.08
  5. Step 5: Solve for x
    x = 68,993,944.08/12,457.30
  6. Step 6: Final answer
    x = 5,538.43

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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.