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Finding the Fourth Proportional to 13,481.17, 20,213.04 and 6,461.02

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Solution

The fourth proportional to 13,481.17, 20,213.04 and 6,461.02 is: 9,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.17 : 20,213.04 = 6,461.02 : x
  2. Step 2: Convert to fraction form
    13,481.17/20,213.04 = 6,461.02/x
  3. Step 3: Cross multiply
    13,481.17x = 20,213.04 × 6,461.02
  4. Step 4: Simplify right side
    13,481.17x = 130,596,855.70
  5. Step 5: Solve for x
    x = 130,596,855.70/13,481.17
  6. Step 6: Final answer
    x = 9,687.35

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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.