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Finding the Fourth Proportional to 13,281.25, 18,329 and 7,692.25

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Solution

The fourth proportional to 13,281.25, 18,329 and 7,692.25 is: 10,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.25 : 18,329 = 7,692.25 : x
  2. Step 2: Convert to fraction form
    13,281.25/18,329 = 7,692.25/x
  3. Step 3: Cross multiply
    13,281.25x = 18,329 × 7,692.25
  4. Step 4: Simplify right side
    13,281.25x = 140,991,250.25
  5. Step 5: Solve for x
    x = 140,991,250.25/13,281.25
  6. Step 6: Final answer
    x = 10,615.81

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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.