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Finding the Fourth Proportional to 17,571.54, 24,256.65 and 11,206.68

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Solution

The fourth proportional to 17,571.54, 24,256.65 and 11,206.68 is: 15,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.54 : 24,256.65 = 11,206.68 : x
  2. Step 2: Convert to fraction form
    17,571.54/24,256.65 = 11,206.68/x
  3. Step 3: Cross multiply
    17,571.54x = 24,256.65 × 11,206.68
  4. Step 4: Simplify right side
    17,571.54x = 271,836,514.42
  5. Step 5: Solve for x
    x = 271,836,514.42/17,571.54
  6. Step 6: Final answer
    x = 15,470.27

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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.