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Finding the Fourth Proportional to 12,838.56, 17,717.01 and 7,173.42

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Solution

The fourth proportional to 12,838.56, 17,717.01 and 7,173.42 is: 9,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.56 : 17,717.01 = 7,173.42 : x
  2. Step 2: Convert to fraction form
    12,838.56/17,717.01 = 7,173.42/x
  3. Step 3: Cross multiply
    12,838.56x = 17,717.01 × 7,173.42
  4. Step 4: Simplify right side
    12,838.56x = 127,091,553.87
  5. Step 5: Solve for x
    x = 127,091,553.87/12,838.56
  6. Step 6: Final answer
    x = 9,899.21

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