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Finding the Fourth Proportional to 13,054.68, 19,579.50 and 3,692.43

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Solution

The fourth proportional to 13,054.68, 19,579.50 and 3,692.43 is: 5,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.68 : 19,579.50 = 3,692.43 : x
  2. Step 2: Convert to fraction form
    13,054.68/19,579.50 = 3,692.43/x
  3. Step 3: Cross multiply
    13,054.68x = 19,579.50 × 3,692.43
  4. Step 4: Simplify right side
    13,054.68x = 72,295,933.19
  5. Step 5: Solve for x
    x = 72,295,933.19/13,054.68
  6. Step 6: Final answer
    x = 5,537.93

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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.