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Finding the Fourth Proportional to 13,893.63, 19,173.20 and 7,606

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Solution

The fourth proportional to 13,893.63, 19,173.20 and 7,606 is: 10,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.63 : 19,173.20 = 7,606 : x
  2. Step 2: Convert to fraction form
    13,893.63/19,173.20 = 7,606/x
  3. Step 3: Cross multiply
    13,893.63x = 19,173.20 × 7,606
  4. Step 4: Simplify right side
    13,893.63x = 145,831,359.20
  5. Step 5: Solve for x
    x = 145,831,359.20/13,893.63
  6. Step 6: Final answer
    x = 10,496.27

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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.