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Finding the Fourth Proportional to 17,672.58, 24,369.66 and 13,189.14

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Solution

The fourth proportional to 17,672.58, 24,369.66 and 13,189.14 is: 18,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.58 : 24,369.66 = 13,189.14 : x
  2. Step 2: Convert to fraction form
    17,672.58/24,369.66 = 13,189.14/x
  3. Step 3: Cross multiply
    17,672.58x = 24,369.66 × 13,189.14
  4. Step 4: Simplify right side
    17,672.58x = 321,414,857.49
  5. Step 5: Solve for x
    x = 321,414,857.49/17,672.58
  6. Step 6: Final answer
    x = 18,187.21

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1.5x scale

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.