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Finding the Fourth Proportional to 13,777.64, 20,675.66 and 8,850.82

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Solution

The fourth proportional to 13,777.64, 20,675.66 and 8,850.82 is: 13,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.64 : 20,675.66 = 8,850.82 : x
  2. Step 2: Convert to fraction form
    13,777.64/20,675.66 = 8,850.82/x
  3. Step 3: Cross multiply
    13,777.64x = 20,675.66 × 8,850.82
  4. Step 4: Simplify right side
    13,777.64x = 182,996,487.86
  5. Step 5: Solve for x
    x = 182,996,487.86/13,777.64
  6. Step 6: Final answer
    x = 13,282.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.