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Finding the Fourth Proportional to 12,692.85, 17,532.81 and 9,745.08

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Solution

The fourth proportional to 12,692.85, 17,532.81 and 9,745.08 is: 13,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.85 : 17,532.81 = 9,745.08 : x
  2. Step 2: Convert to fraction form
    12,692.85/17,532.81 = 9,745.08/x
  3. Step 3: Cross multiply
    12,692.85x = 17,532.81 × 9,745.08
  4. Step 4: Simplify right side
    12,692.85x = 170,858,636.07
  5. Step 5: Solve for x
    x = 170,858,636.07/12,692.85
  6. Step 6: Final answer
    x = 13,461.01

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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.