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Finding the Fourth Proportional to 12,457.72, 18,686.72 and 3,692.68

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Solution

The fourth proportional to 12,457.72, 18,686.72 and 3,692.68 is: 5,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.72 : 18,686.72 = 3,692.68 : x
  2. Step 2: Convert to fraction form
    12,457.72/18,686.72 = 3,692.68/x
  3. Step 3: Cross multiply
    12,457.72x = 18,686.72 × 3,692.68
  4. Step 4: Simplify right side
    12,457.72x = 69,004,077.21
  5. Step 5: Solve for x
    x = 69,004,077.21/12,457.72
  6. Step 6: Final answer
    x = 5,539.06

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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.