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Finding the Fourth Proportional to 13,538.72, 18,692.24 and 12,119.99

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Solution

The fourth proportional to 13,538.72, 18,692.24 and 12,119.99 is: 16,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.72 : 18,692.24 = 12,119.99 : x
  2. Step 2: Convert to fraction form
    13,538.72/18,692.24 = 12,119.99/x
  3. Step 3: Cross multiply
    13,538.72x = 18,692.24 × 12,119.99
  4. Step 4: Simplify right side
    13,538.72x = 226,549,607.82
  5. Step 5: Solve for x
    x = 226,549,607.82/13,538.72
  6. Step 6: Final answer
    x = 16,733.46

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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.