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Finding the Fourth Proportional to 17,451.72, 24,082.38 and 9,493.47

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Solution

The fourth proportional to 17,451.72, 24,082.38 and 9,493.47 is: 13,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.72 : 24,082.38 = 9,493.47 : x
  2. Step 2: Convert to fraction form
    17,451.72/24,082.38 = 9,493.47/x
  3. Step 3: Cross multiply
    17,451.72x = 24,082.38 × 9,493.47
  4. Step 4: Simplify right side
    17,451.72x = 228,625,352.06
  5. Step 5: Solve for x
    x = 228,625,352.06/17,451.72
  6. Step 6: Final answer
    x = 13,100.45

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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.