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Finding the Fourth Proportional to 13,918.50, 20,877.35 and 5,153.22

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Solution

The fourth proportional to 13,918.50, 20,877.35 and 5,153.22 is: 7,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.50 : 20,877.35 = 5,153.22 : x
  2. Step 2: Convert to fraction form
    13,918.50/20,877.35 = 5,153.22/x
  3. Step 3: Cross multiply
    13,918.50x = 20,877.35 × 5,153.22
  4. Step 4: Simplify right side
    13,918.50x = 107,585,551.80
  5. Step 5: Solve for x
    x = 107,585,551.80/13,918.50
  6. Step 6: Final answer
    x = 7,729.68

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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.