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Finding the Fourth Proportional to 12,861.44, 17,742.72 and 8,385.28

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Solution

The fourth proportional to 12,861.44, 17,742.72 and 8,385.28 is: 11,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.44 : 17,742.72 = 8,385.28 : x
  2. Step 2: Convert to fraction form
    12,861.44/17,742.72 = 8,385.28/x
  3. Step 3: Cross multiply
    12,861.44x = 17,742.72 × 8,385.28
  4. Step 4: Simplify right side
    12,861.44x = 148,777,675.16
  5. Step 5: Solve for x
    x = 148,777,675.16/12,861.44
  6. Step 6: Final answer
    x = 11,567.73

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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.