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Finding the Fourth Proportional to 13,354.74, 18,433.44 and 7,692.30

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Solution

The fourth proportional to 13,354.74, 18,433.44 and 7,692.30 is: 10,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.74 : 18,433.44 = 7,692.30 : x
  2. Step 2: Convert to fraction form
    13,354.74/18,433.44 = 7,692.30/x
  3. Step 3: Cross multiply
    13,354.74x = 18,433.44 × 7,692.30
  4. Step 4: Simplify right side
    13,354.74x = 141,795,550.51
  5. Step 5: Solve for x
    x = 141,795,550.51/13,354.74
  6. Step 6: Final answer
    x = 10,617.62

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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.