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Finding the Fourth Proportional to 13,876.89, 20,815.48 and 11,100.00

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Solution

The fourth proportional to 13,876.89, 20,815.48 and 11,100.00 is: 16,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.89 : 20,815.48 = 11,100.00 : x
  2. Step 2: Convert to fraction form
    13,876.89/20,815.48 = 11,100.00/x
  3. Step 3: Cross multiply
    13,876.89x = 20,815.48 × 11,100.00
  4. Step 4: Simplify right side
    13,876.89x = 231,051,919.93
  5. Step 5: Solve for x
    x = 231,051,919.93/13,876.89
  6. Step 6: Final answer
    x = 16,650.13

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Why These Related Problems?

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