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Finding the Fourth Proportional to 13,757.64, 18,985.38 and 8,096.04

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Solution

The fourth proportional to 13,757.64, 18,985.38 and 8,096.04 is: 11,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.64 : 18,985.38 = 8,096.04 : x
  2. Step 2: Convert to fraction form
    13,757.64/18,985.38 = 8,096.04/x
  3. Step 3: Cross multiply
    13,757.64x = 18,985.38 × 8,096.04
  4. Step 4: Simplify right side
    13,757.64x = 153,706,395.90
  5. Step 5: Solve for x
    x = 153,706,395.90/13,757.64
  6. Step 6: Final answer
    x = 11,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.