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Finding the Fourth Proportional to 17,766.23, 24,509.67 and 11,381.41

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Solution

The fourth proportional to 17,766.23, 24,509.67 and 11,381.41 is: 15,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.23 : 24,509.67 = 11,381.41 : x
  2. Step 2: Convert to fraction form
    17,766.23/24,509.67 = 11,381.41/x
  3. Step 3: Cross multiply
    17,766.23x = 24,509.67 × 11,381.41
  4. Step 4: Simplify right side
    17,766.23x = 278,954,480.69
  5. Step 5: Solve for x
    x = 278,954,480.69/17,766.23
  6. Step 6: Final answer
    x = 15,701.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.