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Finding the Fourth Proportional to 17,206.44, 25,776.06 and 11,857.02

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Solution

The fourth proportional to 17,206.44, 25,776.06 and 11,857.02 is: 17,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.44 : 25,776.06 = 11,857.02 : x
  2. Step 2: Convert to fraction form
    17,206.44/25,776.06 = 11,857.02/x
  3. Step 3: Cross multiply
    17,206.44x = 25,776.06 × 11,857.02
  4. Step 4: Simplify right side
    17,206.44x = 305,627,258.94
  5. Step 5: Solve for x
    x = 305,627,258.94/17,206.44
  6. Step 6: Final answer
    x = 17,762.38

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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.