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Finding the Fourth Proportional to 17,571.72, 24,256.90 and 11,206.86

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Solution

The fourth proportional to 17,571.72, 24,256.90 and 11,206.86 is: 15,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.72 : 24,256.90 = 11,206.86 : x
  2. Step 2: Convert to fraction form
    17,571.72/24,256.90 = 11,206.86/x
  3. Step 3: Cross multiply
    17,571.72x = 24,256.90 × 11,206.86
  4. Step 4: Simplify right side
    17,571.72x = 271,843,682.33
  5. Step 5: Solve for x
    x = 271,843,682.33/17,571.72
  6. Step 6: Final answer
    x = 15,470.52

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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.