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Finding the Fourth Proportional to 14,638.50, 20,165.49 and 11,098.26

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Solution

The fourth proportional to 14,638.50, 20,165.49 and 11,098.26 is: 15,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.50 : 20,165.49 = 11,098.26 : x
  2. Step 2: Convert to fraction form
    14,638.50/20,165.49 = 11,098.26/x
  3. Step 3: Cross multiply
    14,638.50x = 20,165.49 × 11,098.26
  4. Step 4: Simplify right side
    14,638.50x = 223,801,851.05
  5. Step 5: Solve for x
    x = 223,801,851.05/14,638.50
  6. Step 6: Final answer
    x = 15,288.58

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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.