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Finding the Fourth Proportional to 13,893.75, 19,173.38 and 7,606.13

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Solution

The fourth proportional to 13,893.75, 19,173.38 and 7,606.13 is: 10,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.75 : 19,173.38 = 7,606.13 : x
  2. Step 2: Convert to fraction form
    13,893.75/19,173.38 = 7,606.13/x
  3. Step 3: Cross multiply
    13,893.75x = 19,173.38 × 7,606.13
  4. Step 4: Simplify right side
    13,893.75x = 145,835,086.92
  5. Step 5: Solve for x
    x = 145,835,086.92/13,893.75
  6. Step 6: Final answer
    x = 10,496.45

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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.