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Finding the Fourth Proportional to 17,568.95, 24,255.17 and 11,617.88

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Solution

The fourth proportional to 17,568.95, 24,255.17 and 11,617.88 is: 16,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.95 : 24,255.17 = 11,617.88 : x
  2. Step 2: Convert to fraction form
    17,568.95/24,255.17 = 11,617.88/x
  3. Step 3: Cross multiply
    17,568.95x = 24,255.17 × 11,617.88
  4. Step 4: Simplify right side
    17,568.95x = 281,793,475.07
  5. Step 5: Solve for x
    x = 281,793,475.07/17,568.95
  6. Step 6: Final answer
    x = 16,039.29

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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.