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Finding the Fourth Proportional to 17,138.56, 25,735.74 and 10,606.36

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Solution

The fourth proportional to 17,138.56, 25,735.74 and 10,606.36 is: 15,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.56 : 25,735.74 = 10,606.36 : x
  2. Step 2: Convert to fraction form
    17,138.56/25,735.74 = 10,606.36/x
  3. Step 3: Cross multiply
    17,138.56x = 25,735.74 × 10,606.36
  4. Step 4: Simplify right side
    17,138.56x = 272,962,523.31
  5. Step 5: Solve for x
    x = 272,962,523.31/17,138.56
  6. Step 6: Final answer
    x = 15,926.81

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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.