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Finding the Fourth Proportional to 13,544.23, 18,692.01 and 7,577.82

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Solution

The fourth proportional to 13,544.23, 18,692.01 and 7,577.82 is: 10,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.23 : 18,692.01 = 7,577.82 : x
  2. Step 2: Convert to fraction form
    13,544.23/18,692.01 = 7,577.82/x
  3. Step 3: Cross multiply
    13,544.23x = 18,692.01 × 7,577.82
  4. Step 4: Simplify right side
    13,544.23x = 141,644,687.22
  5. Step 5: Solve for x
    x = 141,644,687.22/13,544.23
  6. Step 6: Final answer
    x = 10,457.94

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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.