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Finding the Fourth Proportional to 19,885.50, 27,441.99 and 11,506.86

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Solution

The fourth proportional to 19,885.50, 27,441.99 and 11,506.86 is: 15,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.50 : 27,441.99 = 11,506.86 : x
  2. Step 2: Convert to fraction form
    19,885.50/27,441.99 = 11,506.86/x
  3. Step 3: Cross multiply
    19,885.50x = 27,441.99 × 11,506.86
  4. Step 4: Simplify right side
    19,885.50x = 315,771,137.05
  5. Step 5: Solve for x
    x = 315,771,137.05/19,885.50
  6. Step 6: Final answer
    x = 15,879.47

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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.