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Finding the Fourth Proportional to 17,122.89, 25,648.01 and 11,178.78

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Solution

The fourth proportional to 17,122.89, 25,648.01 and 11,178.78 is: 16,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.89 : 25,648.01 = 11,178.78 : x
  2. Step 2: Convert to fraction form
    17,122.89/25,648.01 = 11,178.78/x
  3. Step 3: Cross multiply
    17,122.89x = 25,648.01 × 11,178.78
  4. Step 4: Simplify right side
    17,122.89x = 286,713,351.07
  5. Step 5: Solve for x
    x = 286,713,351.07/17,122.89
  6. Step 6: Final answer
    x = 16,744.44

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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.