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Finding the Fourth Proportional to 13,357.29, 18,434.43 and 7,692.25

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Solution

The fourth proportional to 13,357.29, 18,434.43 and 7,692.25 is: 10,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.29 : 18,434.43 = 7,692.25 : x
  2. Step 2: Convert to fraction form
    13,357.29/18,434.43 = 7,692.25/x
  3. Step 3: Cross multiply
    13,357.29x = 18,434.43 × 7,692.25
  4. Step 4: Simplify right side
    13,357.29x = 141,802,178.85
  5. Step 5: Solve for x
    x = 141,802,178.85/13,357.29
  6. Step 6: Final answer
    x = 10,616.09

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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.