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Finding the Fourth Proportional to 12,722.81, 17,551.43 and 8,475.85

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Solution

The fourth proportional to 12,722.81, 17,551.43 and 8,475.85 is: 11,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.81 : 17,551.43 = 8,475.85 : x
  2. Step 2: Convert to fraction form
    12,722.81/17,551.43 = 8,475.85/x
  3. Step 3: Cross multiply
    12,722.81x = 17,551.43 × 8,475.85
  4. Step 4: Simplify right side
    12,722.81x = 148,763,221.40
  5. Step 5: Solve for x
    x = 148,763,221.40/12,722.81
  6. Step 6: Final answer
    x = 11,692.64

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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.