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Finding the Fourth Proportional to 20,885.85, 28,824.00 and 11,933.16

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Solution

The fourth proportional to 20,885.85, 28,824.00 and 11,933.16 is: 16,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.85 : 28,824.00 = 11,933.16 : x
  2. Step 2: Convert to fraction form
    20,885.85/28,824.00 = 11,933.16/x
  3. Step 3: Cross multiply
    20,885.85x = 28,824.00 × 11,933.16
  4. Step 4: Simplify right side
    20,885.85x = 343,961,272.11
  5. Step 5: Solve for x
    x = 343,961,272.11/20,885.85
  6. Step 6: Final answer
    x = 16,468.63

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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.