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Finding the Fourth Proportional to 13,546.08, 18,692.48 and 7,577.92

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Solution

The fourth proportional to 13,546.08, 18,692.48 and 7,577.92 is: 10,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.08 : 18,692.48 = 7,577.92 : x
  2. Step 2: Convert to fraction form
    13,546.08/18,692.48 = 7,577.92/x
  3. Step 3: Cross multiply
    13,546.08x = 18,692.48 × 7,577.92
  4. Step 4: Simplify right side
    13,546.08x = 141,650,118.04
  5. Step 5: Solve for x
    x = 141,650,118.04/13,546.08
  6. Step 6: Final answer
    x = 10,456.91

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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.